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What is the Least Common Multiple of 94500 and 94517?

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 94500 and 94517 is 8931856500.

LCM(94500,94517) = 8931856500

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Least Common Multiple of 94500 and 94517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94500 and 94517, than apply into the LCM equation.

GCF(94500,94517) = 1
LCM(94500,94517) = ( 94500 × 94517) / 1
LCM(94500,94517) = 8931856500 / 1
LCM(94500,94517) = 8931856500

Least Common Multiple (LCM) of 94500 and 94517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94500 and 94517. First we will calculate the prime factors of 94500 and 94517.

Prime Factorization of 94500

Prime factors of 94500 are 2, 3, 5, 7. Prime factorization of 94500 in exponential form is:

94500 = 22 × 33 × 53 × 71

Prime Factorization of 94517

Prime factors of 94517 are 47, 2011. Prime factorization of 94517 in exponential form is:

94517 = 471 × 20111

Now multiplying the highest exponent prime factors to calculate the LCM of 94500 and 94517.

LCM(94500,94517) = 22 × 33 × 53 × 71 × 471 × 20111
LCM(94500,94517) = 8931856500