What is the Least Common Multiple of 13350 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 of 13350 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 13350 and 13356, than apply into the LCM equation.

GCF(13350,13356) = 6
LCM(13350,13356) = ( 13350 × 13356) / 6
LCM(13350,13356) = 178302600 / 6
LCM(13350,13356) = 29717100

Least Common Multiple (LCM) of 13350 and 13356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13350 and 13356. First we will calculate the prime factors of 13350 and 13356.

Prime Factorization of 13350

Prime Factorization of 13356

Now multiplying the highest exponent prime factors to calculate the LCM of 13350 and 13356.

LCM(13350,13356) = 2² × 3² × 5² × 89¹ × 7¹ × 53¹
LCM(13350,13356) = 29717100