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What is the Least Common Multiple of 94686 and 94704?

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 94686 and 94704 is 1494523824.

LCM(94686,94704) = 1494523824

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Least Common Multiple of 94686 and 94704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94686 and 94704, than apply into the LCM equation.

GCF(94686,94704) = 6
LCM(94686,94704) = ( 94686 × 94704) / 6
LCM(94686,94704) = 8967142944 / 6
LCM(94686,94704) = 1494523824

Least Common Multiple (LCM) of 94686 and 94704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94686 and 94704. First we will calculate the prime factors of 94686 and 94704.

Prime Factorization of 94686

Prime factors of 94686 are 2, 3, 43, 367. Prime factorization of 94686 in exponential form is:

94686 = 21 × 31 × 431 × 3671

Prime Factorization of 94704

Prime factors of 94704 are 2, 3, 1973. Prime factorization of 94704 in exponential form is:

94704 = 24 × 31 × 19731

Now multiplying the highest exponent prime factors to calculate the LCM of 94686 and 94704.

LCM(94686,94704) = 24 × 31 × 431 × 3671 × 19731
LCM(94686,94704) = 1494523824