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What is the Least Common Multiple of 94727 and 94736?

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 94727 and 94736 is 8974057072.

LCM(94727,94736) = 8974057072

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Least Common Multiple of 94727 and 94736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94727 and 94736, than apply into the LCM equation.

GCF(94727,94736) = 1
LCM(94727,94736) = ( 94727 × 94736) / 1
LCM(94727,94736) = 8974057072 / 1
LCM(94727,94736) = 8974057072

Least Common Multiple (LCM) of 94727 and 94736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94727 and 94736. First we will calculate the prime factors of 94727 and 94736.

Prime Factorization of 94727

Prime factors of 94727 are 94727. Prime factorization of 94727 in exponential form is:

94727 = 947271

Prime Factorization of 94736

Prime factors of 94736 are 2, 31, 191. Prime factorization of 94736 in exponential form is:

94736 = 24 × 311 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 94727 and 94736.

LCM(94727,94736) = 947271 × 24 × 311 × 1911
LCM(94727,94736) = 8974057072