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What is the Least Common Multiple of 79607 and 79619?

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 79619 is 6338229733.

LCM(79607,79619) = 6338229733

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Least Common Multiple of 79607 and 79619 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 79619, than apply into the LCM equation.

GCF(79607,79619) = 1
LCM(79607,79619) = ( 79607 × 79619) / 1
LCM(79607,79619) = 6338229733 / 1
LCM(79607,79619) = 6338229733

Least Common Multiple (LCM) of 79607 and 79619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79607 and 79619. First we will calculate the prime factors of 79607 and 79619.

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 79619

Prime factors of 79619 are 103, 773. Prime factorization of 79619 in exponential form is:

79619 = 1031 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 79607 and 79619.

LCM(79607,79619) = 111 × 72371 × 1031 × 7731
LCM(79607,79619) = 6338229733