LCM for 3 and 59

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What's the Least Common Multiple (LCM) of 3 and 59?

Answer

LCM of 3 and 59 is
177

First common multiples: 177, 354, 531, …

177 is divisible by both: 177 ÷ 3 = 59, 177 ÷ 59 = 3 — and 59 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/3 by 59 and of y/59 by 3.

3 and 59 are coprime (GCF = 1), so their LCM is simply the product: 3 × 59 = 177.

3 — prime

59 — prime

Prime359Highest power
33—3
59—5959

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

LCM = 3 × 59 = 177

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FAQ

What's the Least Common Multiple (LCM) of 3 and 59?

LCM of 3 and 59 is 177

How to find the LCM of 3 and 59 using prime factorization?

To find the LCM of 3 and 59, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 177.

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 3 and 59: LCM = 177, GCF = 1.