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What is the Least Common Multiple of 94878 and 94889?

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 94889 is 9002878542.

LCM(94878,94889) = 9002878542

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Least Common Multiple of 94878 and 94889 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 94889, than apply into the LCM equation.

GCF(94878,94889) = 1
LCM(94878,94889) = ( 94878 × 94889) / 1
LCM(94878,94889) = 9002878542 / 1
LCM(94878,94889) = 9002878542

Least Common Multiple (LCM) of 94878 and 94889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94878 and 94889. First we will calculate the prime factors of 94878 and 94889.

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 94889

Prime factors of 94889 are 94889. Prime factorization of 94889 in exponential form is:

94889 = 948891

Now multiplying the highest exponent prime factors to calculate the LCM of 94878 and 94889.

LCM(94878,94889) = 21 × 33 × 71 × 2511 × 948891
LCM(94878,94889) = 9002878542