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What is the Least Common Multiple of 92663 and 92675?

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 92663 and 92675 is 8587543525.

LCM(92663,92675) = 8587543525

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Least Common Multiple of 92663 and 92675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92663 and 92675, than apply into the LCM equation.

GCF(92663,92675) = 1
LCM(92663,92675) = ( 92663 × 92675) / 1
LCM(92663,92675) = 8587543525 / 1
LCM(92663,92675) = 8587543525

Least Common Multiple (LCM) of 92663 and 92675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92663 and 92675. First we will calculate the prime factors of 92663 and 92675.

Prime Factorization of 92663

Prime factors of 92663 are 19, 4877. Prime factorization of 92663 in exponential form is:

92663 = 191 × 48771

Prime Factorization of 92675

Prime factors of 92675 are 5, 11, 337. Prime factorization of 92675 in exponential form is:

92675 = 52 × 111 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 92663 and 92675.

LCM(92663,92675) = 191 × 48771 × 52 × 111 × 3371
LCM(92663,92675) = 8587543525