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What is the Least Common Multiple of 94936 and 94951?

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 94936 and 94951 is 9014268136.

LCM(94936,94951) = 9014268136

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Least Common Multiple of 94936 and 94951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94936 and 94951, than apply into the LCM equation.

GCF(94936,94951) = 1
LCM(94936,94951) = ( 94936 × 94951) / 1
LCM(94936,94951) = 9014268136 / 1
LCM(94936,94951) = 9014268136

Least Common Multiple (LCM) of 94936 and 94951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94936 and 94951. First we will calculate the prime factors of 94936 and 94951.

Prime Factorization of 94936

Prime factors of 94936 are 2, 11867. Prime factorization of 94936 in exponential form is:

94936 = 23 × 118671

Prime Factorization of 94951

Prime factors of 94951 are 94951. Prime factorization of 94951 in exponential form is:

94951 = 949511

Now multiplying the highest exponent prime factors to calculate the LCM of 94936 and 94951.

LCM(94936,94951) = 23 × 118671 × 949511
LCM(94936,94951) = 9014268136