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What is the Least Common Multiple of 94878 and 94892?

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 94878 and 94892 is 643083084.

LCM(94878,94892) = 643083084

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Least Common Multiple of 94878 and 94892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94878 and 94892, than apply into the LCM equation.

GCF(94878,94892) = 14
LCM(94878,94892) = ( 94878 × 94892) / 14
LCM(94878,94892) = 9003163176 / 14
LCM(94878,94892) = 643083084

Least Common Multiple (LCM) of 94878 and 94892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94878 and 94892. First we will calculate the prime factors of 94878 and 94892.

Prime Factorization of 94878

Prime factors of 94878 are 2, 3, 7, 251. Prime factorization of 94878 in exponential form is:

94878 = 21 × 33 × 71 × 2511

Prime Factorization of 94892

Prime factors of 94892 are 2, 7, 3389. Prime factorization of 94892 in exponential form is:

94892 = 22 × 71 × 33891

Now multiplying the highest exponent prime factors to calculate the LCM of 94878 and 94892.

LCM(94878,94892) = 22 × 33 × 71 × 2511 × 33891
LCM(94878,94892) = 643083084