What is the Least Common Multiple of 18170 and 18187?

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 18170 and 18187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18170 and 18187, than apply into the LCM equation.

GCF(18170,18187) = 1
LCM(18170,18187) = ( 18170 × 18187) / 1
LCM(18170,18187) = 330457790 / 1
LCM(18170,18187) = 330457790

Least Common Multiple (LCM) of 18170 and 18187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18170 and 18187. First we will calculate the prime factors of 18170 and 18187.

Prime Factorization of 18170

Prime Factorization of 18187

Now multiplying the highest exponent prime factors to calculate the LCM of 18170 and 18187.

LCM(18170,18187) = 2¹ × 5¹ × 23¹ × 79¹ × 13¹ × 1399¹
LCM(18170,18187) = 330457790