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What is the Least Common Multiple of 77581 and 77599?

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 77581 and 77599 is 6020208019.

LCM(77581,77599) = 6020208019

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Least Common Multiple of 77581 and 77599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77581 and 77599, than apply into the LCM equation.

GCF(77581,77599) = 1
LCM(77581,77599) = ( 77581 × 77599) / 1
LCM(77581,77599) = 6020208019 / 1
LCM(77581,77599) = 6020208019

Least Common Multiple (LCM) of 77581 and 77599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77581 and 77599. First we will calculate the prime factors of 77581 and 77599.

Prime Factorization of 77581

Prime factors of 77581 are 7, 11083. Prime factorization of 77581 in exponential form is:

77581 = 71 × 110831

Prime Factorization of 77599

Prime factors of 77599 are 73, 1063. Prime factorization of 77599 in exponential form is:

77599 = 731 × 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 77581 and 77599.

LCM(77581,77599) = 71 × 110831 × 731 × 10631
LCM(77581,77599) = 6020208019