GCF and LCM Calculator Logo

What is the Least Common Multiple of 13350 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 13350 and 13360 is 17835600.

LCM(13350,13360) = 17835600

LCM Calculator and
and

Least Common Multiple of 13350 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 13350 and 13360, than apply into the LCM equation.

GCF(13350,13360) = 10
LCM(13350,13360) = ( 13350 × 13360) / 10
LCM(13350,13360) = 178356000 / 10
LCM(13350,13360) = 17835600

Least Common Multiple (LCM) of 13350 and 13360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13350 and 13360. First we will calculate the prime factors of 13350 and 13360.

Prime Factorization of 13350

Prime factors of 13350 are 2, 3, 5, 89. Prime factorization of 13350 in exponential form is:

13350 = 21 × 31 × 52 × 891

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 13350 and 13360.

LCM(13350,13360) = 24 × 31 × 52 × 891 × 1671
LCM(13350,13360) = 17835600