What is the LCM of 11 and 88?

What's the Least Common Multiple (LCM) of 11 and 88?

Answer

LCM of 11 and 88 is

88

First common multiples: 88, 176, 264, …

As a common denominator: multiply the top and bottom of x/11 by 8.

11 divides 88 (88 ÷ 11 = 8), so the LCM is the larger number itself.

11 — prime

88 = 2³ × 11

Prime	11	88	Highest power
2	—	2³	2³
11	11	11	11

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

LCM = 2³ × 11 = 88

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