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What is the Least Common Multiple of 17896 and 17911?

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 17896 and 17911 is 320535256.

LCM(17896,17911) = 320535256

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Least Common Multiple of 17896 and 17911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17896 and 17911, than apply into the LCM equation.

GCF(17896,17911) = 1
LCM(17896,17911) = ( 17896 × 17911) / 1
LCM(17896,17911) = 320535256 / 1
LCM(17896,17911) = 320535256

Least Common Multiple (LCM) of 17896 and 17911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17896 and 17911. First we will calculate the prime factors of 17896 and 17911.

Prime Factorization of 17896

Prime factors of 17896 are 2, 2237. Prime factorization of 17896 in exponential form is:

17896 = 23 × 22371

Prime Factorization of 17911

Prime factors of 17911 are 17911. Prime factorization of 17911 in exponential form is:

17911 = 179111

Now multiplying the highest exponent prime factors to calculate the LCM of 17896 and 17911.

LCM(17896,17911) = 23 × 22371 × 179111
LCM(17896,17911) = 320535256