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What is the Least Common Multiple of 91647 and 91664?

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 91647 and 91664 is 494160624.

LCM(91647,91664) = 494160624

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Least Common Multiple of 91647 and 91664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91647 and 91664, than apply into the LCM equation.

GCF(91647,91664) = 17
LCM(91647,91664) = ( 91647 × 91664) / 17
LCM(91647,91664) = 8400730608 / 17
LCM(91647,91664) = 494160624

Least Common Multiple (LCM) of 91647 and 91664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91647 and 91664. First we will calculate the prime factors of 91647 and 91664.

Prime Factorization of 91647

Prime factors of 91647 are 3, 17, 599. Prime factorization of 91647 in exponential form is:

91647 = 32 × 171 × 5991

Prime Factorization of 91664

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

91664 = 24 × 171 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 91647 and 91664.

LCM(91647,91664) = 32 × 171 × 5991 × 24 × 3371
LCM(91647,91664) = 494160624