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What is the Least Common Multiple of 11317 and 11334?

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 11317 and 11334 is 128266878.

LCM(11317,11334) = 128266878

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Least Common Multiple of 11317 and 11334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11317 and 11334, than apply into the LCM equation.

GCF(11317,11334) = 1
LCM(11317,11334) = ( 11317 × 11334) / 1
LCM(11317,11334) = 128266878 / 1
LCM(11317,11334) = 128266878

Least Common Multiple (LCM) of 11317 and 11334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11317 and 11334. First we will calculate the prime factors of 11317 and 11334.

Prime Factorization of 11317

Prime factors of 11317 are 11317. Prime factorization of 11317 in exponential form is:

11317 = 113171

Prime Factorization of 11334

Prime factors of 11334 are 2, 3, 1889. Prime factorization of 11334 in exponential form is:

11334 = 21 × 31 × 18891

Now multiplying the highest exponent prime factors to calculate the LCM of 11317 and 11334.

LCM(11317,11334) = 113171 × 21 × 31 × 18891
LCM(11317,11334) = 128266878