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What is the Least Common Multiple of 13318 and 13329?

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 13318 and 13329 is 177515622.

LCM(13318,13329) = 177515622

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Least Common Multiple of 13318 and 13329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13318 and 13329, than apply into the LCM equation.

GCF(13318,13329) = 1
LCM(13318,13329) = ( 13318 × 13329) / 1
LCM(13318,13329) = 177515622 / 1
LCM(13318,13329) = 177515622

Least Common Multiple (LCM) of 13318 and 13329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13318 and 13329. First we will calculate the prime factors of 13318 and 13329.

Prime Factorization of 13318

Prime factors of 13318 are 2, 6659. Prime factorization of 13318 in exponential form is:

13318 = 21 × 66591

Prime Factorization of 13329

Prime factors of 13329 are 3, 1481. Prime factorization of 13329 in exponential form is:

13329 = 32 × 14811

Now multiplying the highest exponent prime factors to calculate the LCM of 13318 and 13329.

LCM(13318,13329) = 21 × 66591 × 32 × 14811
LCM(13318,13329) = 177515622