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What is the Least Common Multiple of 94657 and 94672?

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 94672 is 8961367504.

LCM(94657,94672) = 8961367504

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Least Common Multiple of 94657 and 94672 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 94672, than apply into the LCM equation.

GCF(94657,94672) = 1
LCM(94657,94672) = ( 94657 × 94672) / 1
LCM(94657,94672) = 8961367504 / 1
LCM(94657,94672) = 8961367504

Least Common Multiple (LCM) of 94657 and 94672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94657 and 94672. First we will calculate the prime factors of 94657 and 94672.

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 94672

Prime factors of 94672 are 2, 61, 97. Prime factorization of 94672 in exponential form is:

94672 = 24 × 611 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 94657 and 94672.

LCM(94657,94672) = 1031 × 9191 × 24 × 611 × 971
LCM(94657,94672) = 8961367504