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What is the Least Common Multiple of 64664 and 64675?

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 64664 and 64675 is 4182144200.

LCM(64664,64675) = 4182144200

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Least Common Multiple of 64664 and 64675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64664 and 64675, than apply into the LCM equation.

GCF(64664,64675) = 1
LCM(64664,64675) = ( 64664 × 64675) / 1
LCM(64664,64675) = 4182144200 / 1
LCM(64664,64675) = 4182144200

Least Common Multiple (LCM) of 64664 and 64675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64664 and 64675. First we will calculate the prime factors of 64664 and 64675.

Prime Factorization of 64664

Prime factors of 64664 are 2, 59, 137. Prime factorization of 64664 in exponential form is:

64664 = 23 × 591 × 1371

Prime Factorization of 64675

Prime factors of 64675 are 5, 13, 199. Prime factorization of 64675 in exponential form is:

64675 = 52 × 131 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 64664 and 64675.

LCM(64664,64675) = 23 × 591 × 1371 × 52 × 131 × 1991
LCM(64664,64675) = 4182144200