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What is the Least Common Multiple of 56657 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 56657 and 56664 is 3210412248.

LCM(56657,56664) = 3210412248

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Least Common Multiple of 56657 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 56657 and 56664, than apply into the LCM equation.

GCF(56657,56664) = 1
LCM(56657,56664) = ( 56657 × 56664) / 1
LCM(56657,56664) = 3210412248 / 1
LCM(56657,56664) = 3210412248

Least Common Multiple (LCM) of 56657 and 56664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56657 and 56664. First we will calculate the prime factors of 56657 and 56664.

Prime Factorization of 56657

Prime factors of 56657 are 53, 1069. Prime factorization of 56657 in exponential form is:

56657 = 531 × 10691

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 56657 and 56664.

LCM(56657,56664) = 531 × 10691 × 23 × 32 × 7871
LCM(56657,56664) = 3210412248