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What is the Least Common Multiple of 64661 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 64661 and 64675 is 4181950175.

LCM(64661,64675) = 4181950175

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Least Common Multiple of 64661 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 64661 and 64675, than apply into the LCM equation.

GCF(64661,64675) = 1
LCM(64661,64675) = ( 64661 × 64675) / 1
LCM(64661,64675) = 4181950175 / 1
LCM(64661,64675) = 4181950175

Least Common Multiple (LCM) of 64661 and 64675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64661 and 64675. First we will calculate the prime factors of 64661 and 64675.

Prime Factorization of 64661

Prime factors of 64661 are 64661. Prime factorization of 64661 in exponential form is:

64661 = 646611

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 64661 and 64675.

LCM(64661,64675) = 646611 × 52 × 131 × 1991
LCM(64661,64675) = 4181950175