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What is the Least Common Multiple of 64599 and 64608?

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 64599 and 64608 is 1391204064.

LCM(64599,64608) = 1391204064

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Least Common Multiple of 64599 and 64608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64599 and 64608, than apply into the LCM equation.

GCF(64599,64608) = 3
LCM(64599,64608) = ( 64599 × 64608) / 3
LCM(64599,64608) = 4173612192 / 3
LCM(64599,64608) = 1391204064

Least Common Multiple (LCM) of 64599 and 64608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64599 and 64608. First we will calculate the prime factors of 64599 and 64608.

Prime Factorization of 64599

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

64599 = 31 × 611 × 3531

Prime Factorization of 64608

Prime factors of 64608 are 2, 3, 673. Prime factorization of 64608 in exponential form is:

64608 = 25 × 31 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 64599 and 64608.

LCM(64599,64608) = 31 × 611 × 3531 × 25 × 6731
LCM(64599,64608) = 1391204064