LCM for 33 and 121

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What's the Least Common Multiple (LCM) of 33 and 121?

Answer

LCM of 33 and 121 is
363

First common multiples: 363; 726; 1,089; …

363 is divisible by both: 363 ÷ 33 = 11, 363 ÷ 121 = 3 — and 11 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 11 and of y/121 by 3.

33 = 3 × 11

121 = 112

Prime33121Highest power
33—3
1111112112

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

LCM = 3 × 112 = 363

See Also

FAQ

What's the Least Common Multiple (LCM) of 33 and 121?

LCM of 33 and 121 is 363

How to find the LCM of 33 and 121 using prime factorization?

To find the LCM of 33 and 121, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 363.

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 121: LCM = 363, GCF = 11.