What is the Least Common Multiple of 18123 and 18132?

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 18123 and 18132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18123 and 18132, than apply into the LCM equation.

GCF(18123,18132) = 3
LCM(18123,18132) = ( 18123 × 18132) / 3
LCM(18123,18132) = 328606236 / 3
LCM(18123,18132) = 109535412

Least Common Multiple (LCM) of 18123 and 18132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18123 and 18132. First we will calculate the prime factors of 18123 and 18132.

Prime Factorization of 18123

Prime Factorization of 18132

Now multiplying the highest exponent prime factors to calculate the LCM of 18123 and 18132.

LCM(18123,18132) = 3¹ × 7¹ × 863¹ × 2² × 1511¹
LCM(18123,18132) = 109535412