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What is the Least Common Multiple of 64584 and 64599?

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 64584 and 64599 is 1390687272.

LCM(64584,64599) = 1390687272

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Least Common Multiple of 64584 and 64599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64584 and 64599, than apply into the LCM equation.

GCF(64584,64599) = 3
LCM(64584,64599) = ( 64584 × 64599) / 3
LCM(64584,64599) = 4172061816 / 3
LCM(64584,64599) = 1390687272

Least Common Multiple (LCM) of 64584 and 64599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64584 and 64599. First we will calculate the prime factors of 64584 and 64599.

Prime Factorization of 64584

Prime factors of 64584 are 2, 3, 13, 23. Prime factorization of 64584 in exponential form is:

64584 = 23 × 33 × 131 × 231

Prime Factorization of 64599

Prime factors of 64599 are 3, 61, 353. Prime factorization of 64599 in exponential form is:

64599 = 31 × 611 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 64584 and 64599.

LCM(64584,64599) = 23 × 33 × 131 × 231 × 611 × 3531
LCM(64584,64599) = 1390687272