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What is the Least Common Multiple of 79607 and 79627?

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 79607 and 79627 is 6338866589.

LCM(79607,79627) = 6338866589

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Least Common Multiple of 79607 and 79627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79607 and 79627, than apply into the LCM equation.

GCF(79607,79627) = 1
LCM(79607,79627) = ( 79607 × 79627) / 1
LCM(79607,79627) = 6338866589 / 1
LCM(79607,79627) = 6338866589

Least Common Multiple (LCM) of 79607 and 79627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79607 and 79627. First we will calculate the prime factors of 79607 and 79627.

Prime Factorization of 79607

Prime factors of 79607 are 11, 7237. Prime factorization of 79607 in exponential form is:

79607 = 111 × 72371

Prime Factorization of 79627

Prime factors of 79627 are 79627. Prime factorization of 79627 in exponential form is:

79627 = 796271

Now multiplying the highest exponent prime factors to calculate the LCM of 79607 and 79627.

LCM(79607,79627) = 111 × 72371 × 796271
LCM(79607,79627) = 6338866589