What is the Least Common Multiple of 15138 and 15144?

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 15138 and 15144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15138 and 15144, than apply into the LCM equation.

GCF(15138,15144) = 6
LCM(15138,15144) = ( 15138 × 15144) / 6
LCM(15138,15144) = 229249872 / 6
LCM(15138,15144) = 38208312

Least Common Multiple (LCM) of 15138 and 15144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15138 and 15144. First we will calculate the prime factors of 15138 and 15144.

Prime Factorization of 15138

Prime Factorization of 15144

Now multiplying the highest exponent prime factors to calculate the LCM of 15138 and 15144.

LCM(15138,15144) = 2³ × 3² × 29² × 631¹
LCM(15138,15144) = 38208312