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What is the Least Common Multiple of 94767 and 94785?

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 94767 and 94785 is 2994163365.

LCM(94767,94785) = 2994163365

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Least Common Multiple of 94767 and 94785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94767 and 94785, than apply into the LCM equation.

GCF(94767,94785) = 3
LCM(94767,94785) = ( 94767 × 94785) / 3
LCM(94767,94785) = 8982490095 / 3
LCM(94767,94785) = 2994163365

Least Common Multiple (LCM) of 94767 and 94785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94767 and 94785. First we will calculate the prime factors of 94767 and 94785.

Prime Factorization of 94767

Prime factors of 94767 are 3, 31, 1019. Prime factorization of 94767 in exponential form is:

94767 = 31 × 311 × 10191

Prime Factorization of 94785

Prime factors of 94785 are 3, 5, 71, 89. Prime factorization of 94785 in exponential form is:

94785 = 31 × 51 × 711 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 94767 and 94785.

LCM(94767,94785) = 31 × 311 × 10191 × 51 × 711 × 891
LCM(94767,94785) = 2994163365