GCF and LCM Calculator Logo

What is the Least Common Multiple of 13352 and 13360?

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 13352 and 13360 is 22297840.

LCM(13352,13360) = 22297840

LCM Calculator and
and

Least Common Multiple of 13352 and 13360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13352 and 13360, than apply into the LCM equation.

GCF(13352,13360) = 8
LCM(13352,13360) = ( 13352 × 13360) / 8
LCM(13352,13360) = 178382720 / 8
LCM(13352,13360) = 22297840

Least Common Multiple (LCM) of 13352 and 13360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13352 and 13360. First we will calculate the prime factors of 13352 and 13360.

Prime Factorization of 13352

Prime factors of 13352 are 2, 1669. Prime factorization of 13352 in exponential form is:

13352 = 23 × 16691

Prime Factorization of 13360

Prime factors of 13360 are 2, 5, 167. Prime factorization of 13360 in exponential form is:

13360 = 24 × 51 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 13352 and 13360.

LCM(13352,13360) = 24 × 16691 × 51 × 1671
LCM(13352,13360) = 22297840