What is the LCM of 27 and 108?

What's the Least Common Multiple (LCM) of 27 and 108?

Answer

LCM of 27 and 108 is

108

First common multiples: 108, 216, 324, …

As a common denominator: multiply the top and bottom of x/27 by 4.

27 divides 108 (108 ÷ 27 = 4), so the LCM is the larger number itself.

27 = 3³

108 = 2² × 3³

Prime	27	108	Highest power
2	—	2²	2²
3	3³	3³	3³

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

LCM = 2² × 3³ = 108

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Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Multiples of a Number - List the first 10 multiples of any number from 1 to 999

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