What is the LCM of 125 and 500?

What's the Least Common Multiple (LCM) of 125 and 500?

Answer

LCM of 125 and 500 is

500

First common multiples: 500; 1,000; 1,500; …

As a common denominator: multiply the top and bottom of x/125 by 4.

125 divides 500 (500 ÷ 125 = 4), so the LCM is the larger number itself.

125 = 5³

500 = 2² × 5³

Prime	125	500	Highest power
2	—	2²	2²
5	5³	5³	5³

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

LCM = 2² × 5³ = 500

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