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What is the Least Common Multiple of 9096 and 9101?

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 9096 and 9101 is 82782696.

LCM(9096,9101) = 82782696

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Least Common Multiple of 9096 and 9101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9096 and 9101, than apply into the LCM equation.

GCF(9096,9101) = 1
LCM(9096,9101) = ( 9096 × 9101) / 1
LCM(9096,9101) = 82782696 / 1
LCM(9096,9101) = 82782696

Least Common Multiple (LCM) of 9096 and 9101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9096 and 9101. First we will calculate the prime factors of 9096 and 9101.

Prime Factorization of 9096

Prime factors of 9096 are 2, 3, 379. Prime factorization of 9096 in exponential form is:

9096 = 23 × 31 × 3791

Prime Factorization of 9101

Prime factors of 9101 are 19, 479. Prime factorization of 9101 in exponential form is:

9101 = 191 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 9096 and 9101.

LCM(9096,9101) = 23 × 31 × 3791 × 191 × 4791
LCM(9096,9101) = 82782696