LCM for 6 and 58

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What's the Least Common Multiple (LCM) of 6 and 58?

Answer

LCM of 6 and 58 is
174

First common multiples: 174, 348, 522, …

174 is divisible by both: 174 ÷ 6 = 29, 174 ÷ 58 = 3 — and 29 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/6 by 29 and of y/58 by 3.

6 = 2 × 3

58 = 2 × 29

Prime658Highest power
2222
33—3
29—2929

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

LCM = 2 × 3 × 29 = 174

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FAQ

What's the Least Common Multiple (LCM) of 6 and 58?

LCM of 6 and 58 is 174

How to find the LCM of 6 and 58 using prime factorization?

To find the LCM of 6 and 58, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 174.

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 6 and 58: LCM = 174, GCF = 2.