What is the LCM of 10 and 320?

What's the Least Common Multiple (LCM) of 10 and 320?

Answer

LCM of 10 and 320 is

320

First common multiples: 320, 640, 960, …

As a common denominator: multiply the top and bottom of x/10 by 32.

10 divides 320 (320 ÷ 10 = 32), so the LCM is the larger number itself.

10 = 2 × 5

320 = 2⁶ × 5

Prime	10	320	Highest power
2	2	2⁶	2⁶
5	5	5	5

LCM = 2⁶ × 5 = 320

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