What is the Least Common Multiple of 18126 and 18138?

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 18126 and 18138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18126 and 18138, than apply into the LCM equation.

GCF(18126,18138) = 6
LCM(18126,18138) = ( 18126 × 18138) / 6
LCM(18126,18138) = 328769388 / 6
LCM(18126,18138) = 54794898

Least Common Multiple (LCM) of 18126 and 18138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18126 and 18138. First we will calculate the prime factors of 18126 and 18138.

Prime Factorization of 18126

Prime Factorization of 18138

Now multiplying the highest exponent prime factors to calculate the LCM of 18126 and 18138.

LCM(18126,18138) = 2¹ × 3² × 19¹ × 53¹ × 3023¹
LCM(18126,18138) = 54794898