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What is the Least Common Multiple of 9099 and 9113?

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 9099 and 9113 is 82919187.

LCM(9099,9113) = 82919187

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Least Common Multiple of 9099 and 9113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9099 and 9113, than apply into the LCM equation.

GCF(9099,9113) = 1
LCM(9099,9113) = ( 9099 × 9113) / 1
LCM(9099,9113) = 82919187 / 1
LCM(9099,9113) = 82919187

Least Common Multiple (LCM) of 9099 and 9113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9099 and 9113. First we will calculate the prime factors of 9099 and 9113.

Prime Factorization of 9099

Prime factors of 9099 are 3, 337. Prime factorization of 9099 in exponential form is:

9099 = 33 × 3371

Prime Factorization of 9113

Prime factors of 9113 are 13, 701. Prime factorization of 9113 in exponential form is:

9113 = 131 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 9099 and 9113.

LCM(9099,9113) = 33 × 3371 × 131 × 7011
LCM(9099,9113) = 82919187