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What is the Least Common Multiple of 94916 and 94930?

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 94916 and 94930 is 4505187940.

LCM(94916,94930) = 4505187940

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Least Common Multiple of 94916 and 94930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94916 and 94930, than apply into the LCM equation.

GCF(94916,94930) = 2
LCM(94916,94930) = ( 94916 × 94930) / 2
LCM(94916,94930) = 9010375880 / 2
LCM(94916,94930) = 4505187940

Least Common Multiple (LCM) of 94916 and 94930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94916 and 94930. First we will calculate the prime factors of 94916 and 94930.

Prime Factorization of 94916

Prime factors of 94916 are 2, 61, 389. Prime factorization of 94916 in exponential form is:

94916 = 22 × 611 × 3891

Prime Factorization of 94930

Prime factors of 94930 are 2, 5, 11, 863. Prime factorization of 94930 in exponential form is:

94930 = 21 × 51 × 111 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 94916 and 94930.

LCM(94916,94930) = 22 × 611 × 3891 × 51 × 111 × 8631
LCM(94916,94930) = 4505187940