What is the Least Common Multiple of 18135 and 18150?

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 18135 and 18150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18135 and 18150, than apply into the LCM equation.

GCF(18135,18150) = 15
LCM(18135,18150) = ( 18135 × 18150) / 15
LCM(18135,18150) = 329150250 / 15
LCM(18135,18150) = 21943350

Least Common Multiple (LCM) of 18135 and 18150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18135 and 18150. First we will calculate the prime factors of 18135 and 18150.

Prime Factorization of 18135

Prime Factorization of 18150

Now multiplying the highest exponent prime factors to calculate the LCM of 18135 and 18150.

LCM(18135,18150) = 3² × 5² × 13¹ × 31¹ × 2¹ × 11²
LCM(18135,18150) = 21943350