LCM for 3 and 43

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What's the Least Common Multiple (LCM) of 3 and 43?

Answer

LCM of 3 and 43 is
129

First common multiples: 129, 258, 387, …

129 is divisible by both: 129 ÷ 3 = 43, 129 ÷ 43 = 3 — and 43 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 43 and of y/43 by 3.

3 and 43 are coprime (GCF = 1), so their LCM is simply the product: 3 × 43 = 129.

3 — prime

43 — prime

Prime343Highest power
33—3
43—4343

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

LCM = 3 × 43 = 129

See Also

FAQ

What's the Least Common Multiple (LCM) of 3 and 43?

LCM of 3 and 43 is 129

How to find the LCM of 3 and 43 using prime factorization?

To find the LCM of 3 and 43, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 129.

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 43: LCM = 129, GCF = 1.