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What is the Least Common Multiple of 94971 and 94987?

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 94971 and 94987 is 9021010377.

LCM(94971,94987) = 9021010377

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Least Common Multiple of 94971 and 94987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94971 and 94987, than apply into the LCM equation.

GCF(94971,94987) = 1
LCM(94971,94987) = ( 94971 × 94987) / 1
LCM(94971,94987) = 9021010377 / 1
LCM(94971,94987) = 9021010377

Least Common Multiple (LCM) of 94971 and 94987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94971 and 94987. First we will calculate the prime factors of 94971 and 94987.

Prime Factorization of 94971

Prime factors of 94971 are 3, 31657. Prime factorization of 94971 in exponential form is:

94971 = 31 × 316571

Prime Factorization of 94987

Prime factors of 94987 are 43, 47. Prime factorization of 94987 in exponential form is:

94987 = 431 × 472

Now multiplying the highest exponent prime factors to calculate the LCM of 94971 and 94987.

LCM(94971,94987) = 31 × 316571 × 431 × 472
LCM(94971,94987) = 9021010377