LCM for 6 and 47

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What's the Least Common Multiple (LCM) of 6 and 47?

Answer

LCM of 6 and 47 is
282

First common multiples: 282, 564, 846, …

282 is divisible by both: 282 ÷ 6 = 47, 282 ÷ 47 = 6 — and 47 and 6 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/6 by 47 and of y/47 by 6.

6 and 47 are coprime (GCF = 1), so their LCM is simply the product: 6 × 47 = 282.

6 = 2 × 3

47 — prime

Prime647Highest power
22—2
33—3
47—4747

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

LCM = 2 × 3 × 47 = 282

See Also

FAQ

What's the Least Common Multiple (LCM) of 6 and 47?

LCM of 6 and 47 is 282

How to find the LCM of 6 and 47 using prime factorization?

To find the LCM of 6 and 47, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 282.

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 47: LCM = 282, GCF = 1.