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What is the Least Common Multiple of 13308 and 13317?

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 13308 and 13317 is 59074212.

LCM(13308,13317) = 59074212

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Least Common Multiple of 13308 and 13317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13308 and 13317, than apply into the LCM equation.

GCF(13308,13317) = 3
LCM(13308,13317) = ( 13308 × 13317) / 3
LCM(13308,13317) = 177222636 / 3
LCM(13308,13317) = 59074212

Least Common Multiple (LCM) of 13308 and 13317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13308 and 13317. First we will calculate the prime factors of 13308 and 13317.

Prime Factorization of 13308

Prime factors of 13308 are 2, 3, 1109. Prime factorization of 13308 in exponential form is:

13308 = 22 × 31 × 11091

Prime Factorization of 13317

Prime factors of 13317 are 3, 23, 193. Prime factorization of 13317 in exponential form is:

13317 = 31 × 231 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 13308 and 13317.

LCM(13308,13317) = 22 × 31 × 11091 × 231 × 1931
LCM(13308,13317) = 59074212