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What is the Least Common Multiple of 91664 and 91675?

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 91664 and 91675 is 8403297200.

LCM(91664,91675) = 8403297200

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Least Common Multiple of 91664 and 91675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91664 and 91675, than apply into the LCM equation.

GCF(91664,91675) = 1
LCM(91664,91675) = ( 91664 × 91675) / 1
LCM(91664,91675) = 8403297200 / 1
LCM(91664,91675) = 8403297200

Least Common Multiple (LCM) of 91664 and 91675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91664 and 91675. First we will calculate the prime factors of 91664 and 91675.

Prime Factorization of 91664

Prime factors of 91664 are 2, 17, 337. Prime factorization of 91664 in exponential form is:

91664 = 24 × 171 × 3371

Prime Factorization of 91675

Prime factors of 91675 are 5, 19, 193. Prime factorization of 91675 in exponential form is:

91675 = 52 × 191 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 91664 and 91675.

LCM(91664,91675) = 24 × 171 × 3371 × 52 × 191 × 1931
LCM(91664,91675) = 8403297200