What is the Least Common Multiple of 13410 and 13428?

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 13410 and 13428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13410 and 13428, than apply into the LCM equation.

GCF(13410,13428) = 18
LCM(13410,13428) = ( 13410 × 13428) / 18
LCM(13410,13428) = 180069480 / 18
LCM(13410,13428) = 10003860

Least Common Multiple (LCM) of 13410 and 13428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13410 and 13428. First we will calculate the prime factors of 13410 and 13428.

Prime Factorization of 13410

Prime Factorization of 13428

Now multiplying the highest exponent prime factors to calculate the LCM of 13410 and 13428.

LCM(13410,13428) = 2² × 3² × 5¹ × 149¹ × 373¹
LCM(13410,13428) = 10003860