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What is the Least Common Multiple of 10096 and 10109?

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 10096 and 10109 is 102060464.

LCM(10096,10109) = 102060464

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Least Common Multiple of 10096 and 10109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10096 and 10109, than apply into the LCM equation.

GCF(10096,10109) = 1
LCM(10096,10109) = ( 10096 × 10109) / 1
LCM(10096,10109) = 102060464 / 1
LCM(10096,10109) = 102060464

Least Common Multiple (LCM) of 10096 and 10109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10096 and 10109. First we will calculate the prime factors of 10096 and 10109.

Prime Factorization of 10096

Prime factors of 10096 are 2, 631. Prime factorization of 10096 in exponential form is:

10096 = 24 × 6311

Prime Factorization of 10109

Prime factors of 10109 are 11, 919. Prime factorization of 10109 in exponential form is:

10109 = 111 × 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 10096 and 10109.

LCM(10096,10109) = 24 × 6311 × 111 × 9191
LCM(10096,10109) = 102060464