What is the LCM of 20 and 500?

What's the Least Common Multiple (LCM) of 20 and 500?

Answer

LCM of 20 and 500 is

500

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

As a common denominator: multiply the top and bottom of x/20 by 25.

20 divides 500 (500 ÷ 20 = 25), so the LCM is the larger number itself.

20 = 2² × 5

500 = 2² × 5³

Prime	20	500	Highest power
2	2²	2²	2²
5	5	5³	5³

LCM = 2² × 5³ = 500

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