What is the Least Common Multiple of 18138 and 18155?

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 18138 and 18155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18138 and 18155, than apply into the LCM equation.

GCF(18138,18155) = 1
LCM(18138,18155) = ( 18138 × 18155) / 1
LCM(18138,18155) = 329295390 / 1
LCM(18138,18155) = 329295390

Least Common Multiple (LCM) of 18138 and 18155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18138 and 18155. First we will calculate the prime factors of 18138 and 18155.

Prime Factorization of 18138

Prime Factorization of 18155

Now multiplying the highest exponent prime factors to calculate the LCM of 18138 and 18155.

LCM(18138,18155) = 2¹ × 3¹ × 3023¹ × 5¹ × 3631¹
LCM(18138,18155) = 329295390