What is the Least Common Multiple of 18138 and 18144?

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 18144 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 18144, than apply into the LCM equation.

GCF(18138,18144) = 6
LCM(18138,18144) = ( 18138 × 18144) / 6
LCM(18138,18144) = 329095872 / 6
LCM(18138,18144) = 54849312

Least Common Multiple (LCM) of 18138 and 18144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18138 and 18144. First we will calculate the prime factors of 18138 and 18144.

Prime Factorization of 18138

Prime Factorization of 18144

Now multiplying the highest exponent prime factors to calculate the LCM of 18138 and 18144.

LCM(18138,18144) = 2⁵ × 3⁴ × 3023¹ × 7¹
LCM(18138,18144) = 54849312