LCM for 18 and 99

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What's the Least Common Multiple (LCM) of 18 and 99?

Answer

LCM of 18 and 99 is
198

First common multiples: 198, 396, 594, …

198 is divisible by both: 198 ÷ 18 = 11, 198 ÷ 99 = 2 — and 11 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/18 by 11 and of y/99 by 2.

18 = 2 × 32

99 = 32 × 11

Prime1899Highest power
22—2
3323232
11—1111

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

LCM = 2 × 32 × 11 = 198

See Also

FAQ

What's the Least Common Multiple (LCM) of 18 and 99?

LCM of 18 and 99 is 198

How to find the LCM of 18 and 99 using prime factorization?

To find the LCM of 18 and 99, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 198.

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 99: LCM = 198, GCF = 9.