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What is the Least Common Multiple of 94524 and 94529?

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 94524 and 94529 is 8935259196.

LCM(94524,94529) = 8935259196

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Least Common Multiple of 94524 and 94529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94524 and 94529, than apply into the LCM equation.

GCF(94524,94529) = 1
LCM(94524,94529) = ( 94524 × 94529) / 1
LCM(94524,94529) = 8935259196 / 1
LCM(94524,94529) = 8935259196

Least Common Multiple (LCM) of 94524 and 94529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94524 and 94529. First we will calculate the prime factors of 94524 and 94529.

Prime Factorization of 94524

Prime factors of 94524 are 2, 3, 7877. Prime factorization of 94524 in exponential form is:

94524 = 22 × 31 × 78771

Prime Factorization of 94529

Prime factors of 94529 are 94529. Prime factorization of 94529 in exponential form is:

94529 = 945291

Now multiplying the highest exponent prime factors to calculate the LCM of 94524 and 94529.

LCM(94524,94529) = 22 × 31 × 78771 × 945291
LCM(94524,94529) = 8935259196