LCM for 29 and 43

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What's the Least Common Multiple (LCM) of 29 and 43?

Answer

LCM of 29 and 43 is
1,247

First common multiples: 1,247; 2,494; 3,741; …

1,247 is divisible by both: 1,247 ÷ 29 = 43; 1,247 ÷ 43 = 29 — and 43 and 29 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/29 by 43 and of y/43 by 29.

29 and 43 are coprime (GCF = 1), so their LCM is simply the product: 29 × 43 = 1,247.

29 — prime

43 — prime

Prime2943Highest power
2929—29
43—4343

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

LCM = 29 × 43 = 1,247

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FAQ

What's the Least Common Multiple (LCM) of 29 and 43?

LCM of 29 and 43 is 1,247

How to find the LCM of 29 and 43 using prime factorization?

To find the LCM of 29 and 43, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,247.

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 29 and 43: LCM = 1,247, GCF = 1.