How is LCM calculated?

LCM(a, b) = |a × b| ÷ GCD(a, b). First find the Greatest Common Divisor using the Euclidean algorithm, then divide the product of the numbers by the GCD.

LCM is used when adding/subtracting fractions (find common denominator), scheduling events that repeat at different intervals, and solving problems in number theory.

What is the LCM of two prime numbers?

The LCM of two prime numbers is always their product, since primes share no common factors other than 1. LCM(5, 7) = 35.

LCM Calculator — Least Common Multiple

The LCM Calculator finds the Least Common Multiple (LCM) of two whole numbers — the smallest positive integer that is divisible by both numbers. LCM is essential for adding and subtracting fractions with different denominators, scheduling problems, and number theory.

First Number

Second Number

How to Use This Calculator

1
Enter the first number.
2
Enter the second number.
3
Click Calculate to find the Least Common Multiple.

Frequently Asked Questions

The Least Common Multiple (LCM) of two numbers is the smallest positive integer that both numbers divide into evenly. LCM(4, 6) = 12 because 12 is the smallest number divisible by both 4 and 6.

Related Calculators

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