What is the Least Common Multiple of 18075 and 18082?

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 18075 and 18082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18075 and 18082, than apply into the LCM equation.

GCF(18075,18082) = 1
LCM(18075,18082) = ( 18075 × 18082) / 1
LCM(18075,18082) = 326832150 / 1
LCM(18075,18082) = 326832150

Least Common Multiple (LCM) of 18075 and 18082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18075 and 18082. First we will calculate the prime factors of 18075 and 18082.

Prime Factorization of 18075

Prime Factorization of 18082

Now multiplying the highest exponent prime factors to calculate the LCM of 18075 and 18082.

LCM(18075,18082) = 3¹ × 5² × 241¹ × 2¹ × 9041¹
LCM(18075,18082) = 326832150