diff --git a/lib/nce.ts b/lib/nce.ts
index 83cbadcf..7360f273 100644
--- a/lib/nce.ts
+++ b/lib/nce.ts
@@ -234,7 +234,7 @@ export const restrictiveRange = (
   r1: semver.Range,
   r2: semver.Range,
   ignoredRanges: string[],
-  debug: Debugger,
+  debug: (str: string) => void,
 ): semver.Range => {
   debug(`${chalk.white('Compare:')} ${chalk.blue(r1.raw)} ${chalk.white('and')} ${chalk.blue(r2.raw)}`);
 
@@ -248,10 +248,37 @@ export const restrictiveRange = (
     return r2;
   }
 
-  const minVersion1 = semver.minVersion(r1, rangeOptions) || new semver.SemVer('*');
-  const minVersion2 = semver.minVersion(r2, rangeOptions) || new semver.SemVer('*');
-  const sortedR1: semver.Comparator[][] = sortRangeSet(r1.set);
-  const sortedR2: semver.Comparator[][] = sortRangeSet(r2.set);
+  if (!r1.intersects(r2, rangeOptions)) {
+    debug(
+      `${chalk.red('No intersection')} ${chalk.white('between')} ${chalk.blue(r1.raw)} ${chalk.white(
+        'and',
+      )} ${chalk.blue(r2.raw)}, ${chalk.white('returning')} ${chalk.green(r1.raw)}`,
+    );
+    return r1;
+  } else if (!r2.intersects(r1, rangeOptions)) {
+    debug(
+      `${chalk.red('No intersection')} ${chalk.white('between')} ${chalk.blue(r2.raw)} ${chalk.white(
+        'and',
+      )} ${chalk.blue(r1.raw)}, ${chalk.white('returning')} ${chalk.green(r2.raw)}`,
+    );
+    return r2;
+  }
+
+  let minVersion1 = semver.minVersion(r1, rangeOptions) || new semver.SemVer('*');
+  let minVersion2 = semver.minVersion(r2, rangeOptions) || new semver.SemVer('*');
+  let sortedR1: semver.Comparator[][] = sortRangeSet(r1.set);
+  let sortedR2: semver.Comparator[][] = sortRangeSet(r2.set);
+
+  while (minVersion1.major !== minVersion2.major) {
+    if (minVersion1.major > minVersion2.major) {
+      sortedR2 = sortedR2.slice(1);
+    } else {
+      sortedR1 = sortedR1.slice(1);
+    }
+
+    minVersion1 = semver.minVersion(setToRange(sortedR1), rangeOptions) || new semver.SemVer('*');
+    minVersion2 = semver.minVersion(setToRange(sortedR2), rangeOptions) || new semver.SemVer('*');
+  }
 
   if (!semver.eq(minVersion1, minVersion2, rangeOptions)) {
     const minSemver = semver.compare(minVersion1, minVersion2) === -1 ? minVersion2 : minVersion1;
diff --git a/tests/check-engines-from-cli.spec.ts b/tests/check-engines-from-cli.spec.ts
index e8dcade0..f73f5aa0 100644
--- a/tests/check-engines-from-cli.spec.ts
+++ b/tests/check-engines-from-cli.spec.ts
@@ -1,4 +1,3 @@
-import chalk from 'chalk';
 import { execaCommand, Options } from 'execa';
 import { resolve } from 'node:path';
 import { describe, expect, it } from 'vitest';
@@ -33,7 +32,7 @@ describe('check engines from cli', () => {
         '[TITLE]  npm   *  →  >=6.0.0                          \n' +
         '[TITLE]  yarn  *  →  ^1.22.4                          \n' +
         '[TITLE] \n' +
-        `[TITLE] Run ${chalk.cyan('nce -u')} to upgrade package.json.\n` +
+        `[TITLE] Run nce -u to upgrade package.json.\n` +
         '[SUCCESS] Output computed engines range constraints...\n' +
         '[STARTED] Updating package.json...\n' +
         '[SKIPPED] Update is disabled by default.\n' +
@@ -45,7 +44,7 @@ describe('check engines from cli', () => {
         '[SUCCESS]  npm   *  →  >=6.0.0                          \n' +
         '[SUCCESS]  yarn  *  →  ^1.22.4                          \n' +
         '[SUCCESS] \n' +
-        `[SUCCESS] Run ${chalk.cyan('nce -u')} to upgrade package.json.`,
+        `[SUCCESS] Run nce -u to upgrade package.json.`,
     );
   }, 10000);
 
@@ -78,7 +77,7 @@ describe('check engines from cli', () => {
         '[TITLE]  npm   *  →  >=6.0.0                          \n' +
         '[TITLE]  yarn  *  →  ^1.22.4                          \n' +
         '[TITLE] \n' +
-        `[TITLE] Run ${chalk.cyan('nce -u')} to upgrade package.json.\n` +
+        `[TITLE] Run nce -u to upgrade package.json.\n` +
         '[SUCCESS] Output computed engines range constraints...\n' +
         '[STARTED] Updating package.json...\n' +
         '[SKIPPED] Update is disabled by default.\n' +
@@ -90,7 +89,7 @@ describe('check engines from cli', () => {
         '[SUCCESS]  npm   *  →  >=6.0.0                          \n' +
         '[SUCCESS]  yarn  *  →  ^1.22.4                          \n' +
         '[SUCCESS] \n' +
-        `[SUCCESS] Run ${chalk.cyan('nce -u')} to upgrade package.json.`,
+        `[SUCCESS] Run nce -u to upgrade package.json.`,
     );
   }, 10000);
 
@@ -123,7 +122,7 @@ describe('check engines from cli', () => {
         '[TITLE]  npm   *  →  >=6.0.0                          \n' +
         '[TITLE]  yarn  *  →  ^1.22.4                          \n' +
         '[TITLE] \n' +
-        `[TITLE] Run ${chalk.cyan('nce -u')} to upgrade package.json.\n` +
+        `[TITLE] Run nce -u to upgrade package.json.\n` +
         '[SUCCESS] Output computed engines range constraints...\n' +
         '[STARTED] Updating package.json...\n' +
         '[SKIPPED] Update is disabled by default.\n' +
@@ -135,7 +134,7 @@ describe('check engines from cli', () => {
         '[SUCCESS]  npm   *  →  >=6.0.0                          \n' +
         '[SUCCESS]  yarn  *  →  ^1.22.4                          \n' +
         '[SUCCESS] \n' +
-        `[SUCCESS] Run ${chalk.cyan('nce -u')} to upgrade package.json.`,
+        `[SUCCESS] Run nce -u to upgrade package.json.`,
     );
   }, 10000);
 });
diff --git a/tests/restrictive-range.spec.ts b/tests/restrictive-range.spec.ts
new file mode 100644
index 00000000..7a56f7e7
--- /dev/null
+++ b/tests/restrictive-range.spec.ts
@@ -0,0 +1,30 @@
+import * as semver from 'semver';
+import { describe, expect, it } from 'vitest';
+
+import { restrictiveRange } from '../lib/nce.js';
+
+describe('restrictive range', () => {
+  it('should set minimum version', async () => {
+    const a = new semver.Range('^16.14.0 || >=18.0.0');
+    const b = new semver.Range('^16.13.0 || ^18.10.0');
+    const expected = new semver.Range('^16.14.0 || ^18.10.0');
+    const result = restrictiveRange(a, b, [], (_: string) => {});
+    expect(result.range).toEqual(expected.range);
+  });
+
+  it('should a if no intersection', async () => {
+    const a = new semver.Range('^1.0.0');
+    const b = new semver.Range('>=2.0.0');
+    const expected = new semver.Range('^1.0.0');
+    const result = restrictiveRange(a, b, [], (_: string) => {});
+    expect(result.range).toEqual(expected.range);
+  });
+
+  it('should drop major and apply min version', async () => {
+    const a = new semver.Range('^14.18.0 || ^16.14.0 || >=18.0.0');
+    const b = new semver.Range('^16.13.0 || ^18.10.0');
+    const expected = new semver.Range('^16.14.0 || ^18.10.0');
+    const result = restrictiveRange(a, b, [], (_: string) => {});
+    expect(result.range).toEqual(expected.range);
+  });
+});