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What is the Least Common Multiple of 94881 and 94887?

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 94881 and 94887 is 3000991149.

LCM(94881,94887) = 3000991149

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Least Common Multiple of 94881 and 94887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94881 and 94887, than apply into the LCM equation.

GCF(94881,94887) = 3
LCM(94881,94887) = ( 94881 × 94887) / 3
LCM(94881,94887) = 9002973447 / 3
LCM(94881,94887) = 3000991149

Least Common Multiple (LCM) of 94881 and 94887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94881 and 94887. First we will calculate the prime factors of 94881 and 94887.

Prime Factorization of 94881

Prime factors of 94881 are 3, 31627. Prime factorization of 94881 in exponential form is:

94881 = 31 × 316271

Prime Factorization of 94887

Prime factors of 94887 are 3, 13, 811. Prime factorization of 94887 in exponential form is:

94887 = 32 × 131 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 94881 and 94887.

LCM(94881,94887) = 32 × 316271 × 131 × 8111
LCM(94881,94887) = 3000991149