What is the LCM of 12 and 36?

What's the Least Common Multiple (LCM) of 12 and 36?

Answer

LCM of 12 and 36 is

36

First common multiples: 36, 72, 108, …

As a common denominator: multiply the top and bottom of x/12 by 3.

12 divides 36 (36 ÷ 12 = 3), so the LCM is the larger number itself.

12 = 2² × 3

36 = 2² × 3²

Prime	12	36	Highest power
2	2²	2²	2²
3	3	3²	3²

LCM = 2² × 3² = 36

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