LCM for 33 and 55

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What's the Least Common Multiple (LCM) of 33 and 55?

Answer

LCM of 33 and 55 is
165

First common multiples: 165, 330, 495, …

165 is divisible by both: 165 ÷ 33 = 5, 165 ÷ 55 = 3 — and 5 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/33 by 5 and of y/55 by 3.

33 = 3 × 11

55 = 5 × 11

Prime3355Highest power
33—3
5—55
11111111

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

LCM = 3 × 5 × 11 = 165

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FAQ

What's the Least Common Multiple (LCM) of 33 and 55?

LCM of 33 and 55 is 165

How to find the LCM of 33 and 55 using prime factorization?

To find the LCM of 33 and 55, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 165.

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 33 and 55: LCM = 165, GCF = 11.