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What is the Least Common Multiple of 92675 and 92688?

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 92675 and 92688 is 8589860400.

LCM(92675,92688) = 8589860400

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Least Common Multiple of 92675 and 92688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92675 and 92688, than apply into the LCM equation.

GCF(92675,92688) = 1
LCM(92675,92688) = ( 92675 × 92688) / 1
LCM(92675,92688) = 8589860400 / 1
LCM(92675,92688) = 8589860400

Least Common Multiple (LCM) of 92675 and 92688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92675 and 92688. First we will calculate the prime factors of 92675 and 92688.

Prime Factorization of 92675

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

92675 = 52 × 111 × 3371

Prime Factorization of 92688

Prime factors of 92688 are 2, 3, 1931. Prime factorization of 92688 in exponential form is:

92688 = 24 × 31 × 19311

Now multiplying the highest exponent prime factors to calculate the LCM of 92675 and 92688.

LCM(92675,92688) = 52 × 111 × 3371 × 24 × 31 × 19311
LCM(92675,92688) = 8589860400