What is the LCM of 2 and 12?

What's the Least Common Multiple (LCM) of 2 and 12?

Answer

LCM of 2 and 12 is

12

First common multiples: 12, 24, 36, …

As a common denominator: multiply the top and bottom of x/2 by 6.

2 divides 12 (12 ÷ 2 = 6), so the LCM is the larger number itself.

2 — prime

12 = 2² × 3

Prime	2	12	Highest power
2	2	2²	2²
3	—	3	3

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2² × 3 = 12

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