LCM Calculator
Enter two or more integers to find their Least Common Multiple (LCM) with a full prime factorization breakdown.
Use the LCM Calculator
Enter Numbers
Enter 2 to 10 positive integers (max 10,000,000 each).
Quick Examples
Enter integers on the left and click Calculate LCM.
Least Common Multiple
0
Prime Factorizations
Step-by-Step
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Summary
The LCM Calculator finds the smallest positive integer that is divisible by every number in your list. It uses prime factorization to break each number into its prime factors, then takes the highest power of each prime to compute the result. Useful for adding fractions, scheduling repeating events, and solving number theory problems.
How it works
- Enter two or more integers separated by commas or spaces.
- Click "Calculate LCM" to start the computation.
- The tool factors each number into its prime components.
- It selects the highest power of every prime factor that appears.
- The product of those highest powers is the LCM.
- A step-by-step breakdown is displayed below the result.
Use cases
- Find a common denominator when adding or subtracting fractions.
- Determine when two repeating events next occur simultaneously.
- Solve homework or exam problems involving multiples.
- Verify LCM computations done by hand.
- Find the LCM of several numbers at once for engineering tasks.
- Understand prime factorization through interactive examples.
Frequently Asked Questions
Last updated: 2026-05-29 · Reviewed by Nham Vu