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What is the Least Common Multiple of 94794 and 94812?

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 94794 and 94812 is 1497934788.

LCM(94794,94812) = 1497934788

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Least Common Multiple of 94794 and 94812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94794 and 94812, than apply into the LCM equation.

GCF(94794,94812) = 6
LCM(94794,94812) = ( 94794 × 94812) / 6
LCM(94794,94812) = 8987608728 / 6
LCM(94794,94812) = 1497934788

Least Common Multiple (LCM) of 94794 and 94812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94794 and 94812. First we will calculate the prime factors of 94794 and 94812.

Prime Factorization of 94794

Prime factors of 94794 are 2, 3, 7, 37, 61. Prime factorization of 94794 in exponential form is:

94794 = 21 × 31 × 71 × 371 × 611

Prime Factorization of 94812

Prime factors of 94812 are 2, 3, 7901. Prime factorization of 94812 in exponential form is:

94812 = 22 × 31 × 79011

Now multiplying the highest exponent prime factors to calculate the LCM of 94794 and 94812.

LCM(94794,94812) = 22 × 31 × 71 × 371 × 611 × 79011
LCM(94794,94812) = 1497934788