What is the LCM of 10 and 1,000?

What's the Least Common Multiple (LCM) of 10 and 1,000?

Answer

LCM of 10 and 1,000 is

1,000

First common multiples: 1,000; 2,000; 3,000; …

As a common denominator: multiply the top and bottom of x/10 by 100.

10 divides 1,000 (1,000 ÷ 10 = 100), so the LCM is the larger number itself.

10 = 2 × 5

1,000 = 2³ × 5³

Prime	10	1,000	Highest power
2	2	2³	2³
5	5	5³	5³

LCM = 2³ × 5³ = 1,000

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