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What is the Least Common Multiple of 92976 and 92985?

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 92976 and 92985 is 2881791120.

LCM(92976,92985) = 2881791120

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Least Common Multiple of 92976 and 92985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92976 and 92985, than apply into the LCM equation.

GCF(92976,92985) = 3
LCM(92976,92985) = ( 92976 × 92985) / 3
LCM(92976,92985) = 8645373360 / 3
LCM(92976,92985) = 2881791120

Least Common Multiple (LCM) of 92976 and 92985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92976 and 92985. First we will calculate the prime factors of 92976 and 92985.

Prime Factorization of 92976

Prime factors of 92976 are 2, 3, 13, 149. Prime factorization of 92976 in exponential form is:

92976 = 24 × 31 × 131 × 1491

Prime Factorization of 92985

Prime factors of 92985 are 3, 5, 6199. Prime factorization of 92985 in exponential form is:

92985 = 31 × 51 × 61991

Now multiplying the highest exponent prime factors to calculate the LCM of 92976 and 92985.

LCM(92976,92985) = 24 × 31 × 131 × 1491 × 51 × 61991
LCM(92976,92985) = 2881791120