LCM for 18 and 108

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What's the Least Common Multiple (LCM) of 18 and 108?

Answer

LCM of 18 and 108 is
108

First common multiples: 108, 216, 324, …

As a common denominator: multiply the top and bottom of x/18 by 6.

18 divides 108 (108 ÷ 18 = 6), so the LCM is the larger number itself.

18 = 2 × 32

108 = 22 × 33

Prime18108Highest power
222222
3323333

LCM = 22 × 33 = 108

See Also

FAQ

What's the Least Common Multiple (LCM) of 18 and 108?

LCM of 18 and 108 is 108

How to find the LCM of 18 and 108 using prime factorization?

To find the LCM of 18 and 108, 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 18 and 108: LCM = 108, GCF = 18.