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What is the Least Common Multiple of 2584 and 2599?

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 2584 and 2599 is 6715816.

LCM(2584,2599) = 6715816

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Least Common Multiple of 2584 and 2599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2584 and 2599, than apply into the LCM equation.

GCF(2584,2599) = 1
LCM(2584,2599) = ( 2584 × 2599) / 1
LCM(2584,2599) = 6715816 / 1
LCM(2584,2599) = 6715816

Least Common Multiple (LCM) of 2584 and 2599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2584 and 2599. First we will calculate the prime factors of 2584 and 2599.

Prime Factorization of 2584

Prime factors of 2584 are 2, 17, 19. Prime factorization of 2584 in exponential form is:

2584 = 23 × 171 × 191

Prime Factorization of 2599

Prime factors of 2599 are 23, 113. Prime factorization of 2599 in exponential form is:

2599 = 231 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 2584 and 2599.

LCM(2584,2599) = 23 × 171 × 191 × 231 × 1131
LCM(2584,2599) = 6715816