GCF and LCM Calculator Logo

What is the Least Common Multiple of 13295 and 13308?

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 13295 and 13308 is 176929860.

LCM(13295,13308) = 176929860

LCM Calculator and
and

Least Common Multiple of 13295 and 13308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13295 and 13308, than apply into the LCM equation.

GCF(13295,13308) = 1
LCM(13295,13308) = ( 13295 × 13308) / 1
LCM(13295,13308) = 176929860 / 1
LCM(13295,13308) = 176929860

Least Common Multiple (LCM) of 13295 and 13308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13295 and 13308. First we will calculate the prime factors of 13295 and 13308.

Prime Factorization of 13295

Prime factors of 13295 are 5, 2659. Prime factorization of 13295 in exponential form is:

13295 = 51 × 26591

Prime Factorization of 13308

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

13308 = 22 × 31 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 13295 and 13308.

LCM(13295,13308) = 51 × 26591 × 22 × 31 × 11091
LCM(13295,13308) = 176929860