GCF and LCM Calculator Logo

What is the Least Common Multiple of 13344 and 13356?

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 13344 and 13356 is 14851872.

LCM(13344,13356) = 14851872

LCM Calculator and
and

Least Common Multiple of 13344 and 13356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13344 and 13356, than apply into the LCM equation.

GCF(13344,13356) = 12
LCM(13344,13356) = ( 13344 × 13356) / 12
LCM(13344,13356) = 178222464 / 12
LCM(13344,13356) = 14851872

Least Common Multiple (LCM) of 13344 and 13356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13344 and 13356. First we will calculate the prime factors of 13344 and 13356.

Prime Factorization of 13344

Prime factors of 13344 are 2, 3, 139. Prime factorization of 13344 in exponential form is:

13344 = 25 × 31 × 1391

Prime Factorization of 13356

Prime factors of 13356 are 2, 3, 7, 53. Prime factorization of 13356 in exponential form is:

13356 = 22 × 32 × 71 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 13344 and 13356.

LCM(13344,13356) = 25 × 32 × 1391 × 71 × 531
LCM(13344,13356) = 14851872