LCM for 18 and 54

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What's the Least Common Multiple (LCM) of 18 and 54?

Answer

LCM of 18 and 54 is
54

First common multiples: 54, 108, 162, …

As a common denominator: multiply the top and bottom of x/18 by 3.

18 divides 54 (54 ÷ 18 = 3), so the LCM is the larger number itself.

18 = 2 × 32

54 = 2 × 33

Prime1854Highest power
2222
3323333

LCM = 2 × 33 = 54

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FAQ

What's the Least Common Multiple (LCM) of 18 and 54?

LCM of 18 and 54 is 54

How to find the LCM of 18 and 54 using prime factorization?

To find the LCM of 18 and 54, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 54.

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 18 and 54: LCM = 54, GCF = 18.