What is the LCM of 6 and 48?

What's the Least Common Multiple (LCM) of 6 and 48?

Answer

LCM of 6 and 48 is

48

First common multiples: 48, 96, 144, …

As a common denominator: multiply the top and bottom of x/6 by 8.

6 divides 48 (48 ÷ 6 = 8), so the LCM is the larger number itself.

6 = 2 × 3

48 = 2⁴ × 3

Prime	6	48	Highest power
2	2	2⁴	2⁴
3	3	3	3

LCM = 2⁴ × 3 = 48

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