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What is the Least Common Multiple of 94657 and 94668?

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 94657 and 94668 is 8960988876.

LCM(94657,94668) = 8960988876

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Least Common Multiple of 94657 and 94668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94657 and 94668, than apply into the LCM equation.

GCF(94657,94668) = 1
LCM(94657,94668) = ( 94657 × 94668) / 1
LCM(94657,94668) = 8960988876 / 1
LCM(94657,94668) = 8960988876

Least Common Multiple (LCM) of 94657 and 94668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94657 and 94668. First we will calculate the prime factors of 94657 and 94668.

Prime Factorization of 94657

Prime factors of 94657 are 103, 919. Prime factorization of 94657 in exponential form is:

94657 = 1031 × 9191

Prime Factorization of 94668

Prime factors of 94668 are 2, 3, 7, 23. Prime factorization of 94668 in exponential form is:

94668 = 22 × 31 × 73 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 94657 and 94668.

LCM(94657,94668) = 1031 × 9191 × 22 × 31 × 73 × 231
LCM(94657,94668) = 8960988876