What is the LCM of 12 and 24?

What's the Least Common Multiple (LCM) of 12 and 24?

Answer

LCM of 12 and 24 is

24

First common multiples: 24, 48, 72, …

As a common denominator: multiply the top and bottom of x/12 by 2.

12 divides 24 (24 ÷ 12 = 2), so the LCM is the larger number itself.

12 = 2² × 3

24 = 2³ × 3

Prime	12	24	Highest power
2	2²	2³	2³
3	3	3	3

LCM = 2³ × 3 = 24

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