What is the Least Common Multiple of 18666 and 18675?

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 18666 and 18675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18666 and 18675, than apply into the LCM equation.

GCF(18666,18675) = 9
LCM(18666,18675) = ( 18666 × 18675) / 9
LCM(18666,18675) = 348587550 / 9
LCM(18666,18675) = 38731950

Least Common Multiple (LCM) of 18666 and 18675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18666 and 18675. First we will calculate the prime factors of 18666 and 18675.

Prime Factorization of 18666

Prime Factorization of 18675

Now multiplying the highest exponent prime factors to calculate the LCM of 18666 and 18675.

LCM(18666,18675) = 2¹ × 3² × 17¹ × 61¹ × 5² × 83¹
LCM(18666,18675) = 38731950