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What is the Least Common Multiple of 80595 and 80599?

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 80595 and 80599 is 6495876405.

LCM(80595,80599) = 6495876405

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Least Common Multiple of 80595 and 80599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80595 and 80599, than apply into the LCM equation.

GCF(80595,80599) = 1
LCM(80595,80599) = ( 80595 × 80599) / 1
LCM(80595,80599) = 6495876405 / 1
LCM(80595,80599) = 6495876405

Least Common Multiple (LCM) of 80595 and 80599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80595 and 80599. First we will calculate the prime factors of 80595 and 80599.

Prime Factorization of 80595

Prime factors of 80595 are 3, 5, 199. Prime factorization of 80595 in exponential form is:

80595 = 34 × 51 × 1991

Prime Factorization of 80599

Prime factors of 80599 are 80599. Prime factorization of 80599 in exponential form is:

80599 = 805991

Now multiplying the highest exponent prime factors to calculate the LCM of 80595 and 80599.

LCM(80595,80599) = 34 × 51 × 1991 × 805991
LCM(80595,80599) = 6495876405