What is the LCM of 2 and 28?

What's the Least Common Multiple (LCM) of 2 and 28?

Answer

LCM of 2 and 28 is

28

First common multiples: 28, 56, 84, …

As a common denominator: multiply the top and bottom of x/2 by 14.

2 divides 28 (28 ÷ 2 = 14), so the LCM is the larger number itself.

2 — prime

28 = 2² × 7

Prime	2	28	Highest power
2	2	2²	2²
7	—	7	7

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

LCM = 2² × 7 = 28

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