What is the LCM of 16 and 112?

What's the Least Common Multiple (LCM) of 16 and 112?

Answer

LCM of 16 and 112 is

112

First common multiples: 112, 224, 336, …

As a common denominator: multiply the top and bottom of x/16 by 7.

16 divides 112 (112 ÷ 16 = 7), so the LCM is the larger number itself.

16 = 2⁴

112 = 2⁴ × 7

Prime	16	112	Highest power
2	2⁴	2⁴	2⁴
7	—	7	7

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

LCM = 2⁴ × 7 = 112

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