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What is the Least Common Multiple of 50599 and 50612?

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 50599 and 50612 is 2560916588.

LCM(50599,50612) = 2560916588

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Least Common Multiple of 50599 and 50612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50599 and 50612, than apply into the LCM equation.

GCF(50599,50612) = 1
LCM(50599,50612) = ( 50599 × 50612) / 1
LCM(50599,50612) = 2560916588 / 1
LCM(50599,50612) = 2560916588

Least Common Multiple (LCM) of 50599 and 50612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50599 and 50612. First we will calculate the prime factors of 50599 and 50612.

Prime Factorization of 50599

Prime factors of 50599 are 50599. Prime factorization of 50599 in exponential form is:

50599 = 505991

Prime Factorization of 50612

Prime factors of 50612 are 2, 12653. Prime factorization of 50612 in exponential form is:

50612 = 22 × 126531

Now multiplying the highest exponent prime factors to calculate the LCM of 50599 and 50612.

LCM(50599,50612) = 505991 × 22 × 126531
LCM(50599,50612) = 2560916588