LCM for 20 and 430

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What's the Least Common Multiple (LCM) of 20 and 430?

Answer

LCM of 20 and 430 is
860

First common multiples: 860; 1,720; 2,580; …

860 is divisible by both: 860 ÷ 20 = 43, 860 ÷ 430 = 2 — and 43 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/20 by 43 and of y/430 by 2.

20 = 22 × 5

430 = 2 × 5 × 43

Prime20430Highest power
222222
5555
43—4343

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

LCM = 22 × 5 × 43 = 860

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FAQ

What's the Least Common Multiple (LCM) of 20 and 430?

LCM of 20 and 430 is 860

How to find the LCM of 20 and 430 using prime factorization?

To find the LCM of 20 and 430, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 860.

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 20 and 430: LCM = 860, GCF = 10.