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What is the Least Common Multiple of 94715 and 94723?

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 94715 and 94723 is 8971688945.

LCM(94715,94723) = 8971688945

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Least Common Multiple of 94715 and 94723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94715 and 94723, than apply into the LCM equation.

GCF(94715,94723) = 1
LCM(94715,94723) = ( 94715 × 94723) / 1
LCM(94715,94723) = 8971688945 / 1
LCM(94715,94723) = 8971688945

Least Common Multiple (LCM) of 94715 and 94723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94715 and 94723. First we will calculate the prime factors of 94715 and 94723.

Prime Factorization of 94715

Prime factors of 94715 are 5, 19, 997. Prime factorization of 94715 in exponential form is:

94715 = 51 × 191 × 9971

Prime Factorization of 94723

Prime factors of 94723 are 94723. Prime factorization of 94723 in exponential form is:

94723 = 947231

Now multiplying the highest exponent prime factors to calculate the LCM of 94715 and 94723.

LCM(94715,94723) = 51 × 191 × 9971 × 947231
LCM(94715,94723) = 8971688945