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What is the Least Common Multiple of 11317 and 11328?

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 11328 is 128198976.

LCM(11317,11328) = 128198976

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Least Common Multiple of 11317 and 11328 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 11328, than apply into the LCM equation.

GCF(11317,11328) = 1
LCM(11317,11328) = ( 11317 × 11328) / 1
LCM(11317,11328) = 128198976 / 1
LCM(11317,11328) = 128198976

Least Common Multiple (LCM) of 11317 and 11328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11317 and 11328. First we will calculate the prime factors of 11317 and 11328.

Prime Factorization of 11317

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

11317 = 113171

Prime Factorization of 11328

Prime factors of 11328 are 2, 3, 59. Prime factorization of 11328 in exponential form is:

11328 = 26 × 31 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 11317 and 11328.

LCM(11317,11328) = 113171 × 26 × 31 × 591
LCM(11317,11328) = 128198976