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What is the Least Common Multiple of 77594 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 77594 and 77599 is 6021216806.

LCM(77594,77599) = 6021216806

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Least Common Multiple of 77594 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 77594 and 77599, than apply into the LCM equation.

GCF(77594,77599) = 1
LCM(77594,77599) = ( 77594 × 77599) / 1
LCM(77594,77599) = 6021216806 / 1
LCM(77594,77599) = 6021216806

Least Common Multiple (LCM) of 77594 and 77599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77594 and 77599. First we will calculate the prime factors of 77594 and 77599.

Prime Factorization of 77594

Prime factors of 77594 are 2, 11, 3527. Prime factorization of 77594 in exponential form is:

77594 = 21 × 111 × 35271

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 77594 and 77599.

LCM(77594,77599) = 21 × 111 × 35271 × 731 × 10631
LCM(77594,77599) = 6021216806