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What is the Least Common Multiple of 94873 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 94873 and 94887 is 9002214351.

LCM(94873,94887) = 9002214351

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Least Common Multiple of 94873 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 94873 and 94887, than apply into the LCM equation.

GCF(94873,94887) = 1
LCM(94873,94887) = ( 94873 × 94887) / 1
LCM(94873,94887) = 9002214351 / 1
LCM(94873,94887) = 9002214351

Least Common Multiple (LCM) of 94873 and 94887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94873 and 94887. First we will calculate the prime factors of 94873 and 94887.

Prime Factorization of 94873

Prime factors of 94873 are 94873. Prime factorization of 94873 in exponential form is:

94873 = 948731

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 94873 and 94887.

LCM(94873,94887) = 948731 × 32 × 131 × 8111
LCM(94873,94887) = 9002214351