Math & Statistics

What Is the Least Common Multiple (LCM)?

The least common multiple (LCM) of two or more whole numbers is the smallest positive number that each of them divides into exactly. The LCM of 12 and 18 is 36. For two numbers, LCM = (a × b) ÷ GCF(a, b).

Where It Is Used

The LCM gives the lowest common denominator when adding or subtracting fractions, and it answers repetition questions: two events that repeat every 12 and 18 days coincide every 36 days.

LCM vs. GCF

The GCF is the largest number that divides into both numbers; the LCM is the smallest number that both numbers divide into.

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Last updated: September 27, 2026. This definition is for general educational purposes only. It is not financial, investment, tax, legal, or medical advice, and it does not recommend any product or course of action. For decisions about your own situation, consult a qualified professional.