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LCM Calculator

Calculate the Least Common Multiple (LCM) of two or more numbers. Shows prime factorisation and step-by-step solution.

Enter Numbers

Enter up to 10 integers separated by commas.

Result
Least Common Multiple
72
LCM(12, 18, 24)

What is LCM?

The Least Common Multiple (LCM) of two or more integers is the smallest positive integer that is divisible by each of them.

Methods

Prime Factorisation: Factor each number into primes. Take the highest power of each prime that appears. Multiply these together.

Example: LCM(12, 18) — 12 = 2²×3, 18 = 2×3². LCM = 2²×3² = 4×9 = 36.

Applications

LCM is used to add fractions with different denominators, schedule events that repeat at different intervals, and in number theory problems.