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What is the Least Common Multiple of 89671 and 89675?

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 89671 and 89675 is 8041246925.

LCM(89671,89675) = 8041246925

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Least Common Multiple of 89671 and 89675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89671 and 89675, than apply into the LCM equation.

GCF(89671,89675) = 1
LCM(89671,89675) = ( 89671 × 89675) / 1
LCM(89671,89675) = 8041246925 / 1
LCM(89671,89675) = 8041246925

Least Common Multiple (LCM) of 89671 and 89675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89671 and 89675. First we will calculate the prime factors of 89671 and 89675.

Prime Factorization of 89671

Prime factors of 89671 are 89671. Prime factorization of 89671 in exponential form is:

89671 = 896711

Prime Factorization of 89675

Prime factors of 89675 are 5, 17, 211. Prime factorization of 89675 in exponential form is:

89675 = 52 × 171 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 89671 and 89675.

LCM(89671,89675) = 896711 × 52 × 171 × 2111
LCM(89671,89675) = 8041246925