LCM for 12 and 54

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What's the Least Common Multiple (LCM) of 12 and 54?

Answer

LCM of 12 and 54 is
108

First common multiples: 108, 216, 324, …

108 is divisible by both: 108 ÷ 12 = 9, 108 ÷ 54 = 2 — and 9 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/12 by 9 and of y/54 by 2.

12 = 22 × 3

54 = 2 × 33

Prime1254Highest power
222222
333333

LCM = 22 × 33 = 108

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FAQ

What's the Least Common Multiple (LCM) of 12 and 54?

LCM of 12 and 54 is 108

How to find the LCM of 12 and 54 using prime factorization?

To find the LCM of 12 and 54, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 108.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 12 and 54: LCM = 108, GCF = 6.