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What is the Least Common Multiple of 56659 and 56664?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 56659 and 56664 is 3210525576.

LCM(56659,56664) = 3210525576

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Least Common Multiple of 56659 and 56664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56659 and 56664, than apply into the LCM equation.

GCF(56659,56664) = 1
LCM(56659,56664) = ( 56659 × 56664) / 1
LCM(56659,56664) = 3210525576 / 1
LCM(56659,56664) = 3210525576

Least Common Multiple (LCM) of 56659 and 56664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56659 and 56664. First we will calculate the prime factors of 56659 and 56664.

Prime Factorization of 56659

Prime factors of 56659 are 56659. Prime factorization of 56659 in exponential form is:

56659 = 566591

Prime Factorization of 56664

Prime factors of 56664 are 2, 3, 787. Prime factorization of 56664 in exponential form is:

56664 = 23 × 32 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 56659 and 56664.

LCM(56659,56664) = 566591 × 23 × 32 × 7871
LCM(56659,56664) = 3210525576