What is the Least Common Multiple of 18075 and 18083?

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 18083 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 18083, than apply into the LCM equation.

GCF(18075,18083) = 1
LCM(18075,18083) = ( 18075 × 18083) / 1
LCM(18075,18083) = 326850225 / 1
LCM(18075,18083) = 326850225

Least Common Multiple (LCM) of 18075 and 18083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18075 and 18083. First we will calculate the prime factors of 18075 and 18083.

Prime Factorization of 18075

Prime Factorization of 18083

Now multiplying the highest exponent prime factors to calculate the LCM of 18075 and 18083.

LCM(18075,18083) = 3¹ × 5² × 241¹ × 13² × 107¹
LCM(18075,18083) = 326850225