What is the Least Common Multiple of 18114 and 18126?

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 18114 and 18126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18114 and 18126, than apply into the LCM equation.

GCF(18114,18126) = 6
LCM(18114,18126) = ( 18114 × 18126) / 6
LCM(18114,18126) = 328334364 / 6
LCM(18114,18126) = 54722394

Least Common Multiple (LCM) of 18114 and 18126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18114 and 18126. First we will calculate the prime factors of 18114 and 18126.

Prime Factorization of 18114

Prime Factorization of 18126

Now multiplying the highest exponent prime factors to calculate the LCM of 18114 and 18126.

LCM(18114,18126) = 2¹ × 3² × 3019¹ × 19¹ × 53¹
LCM(18114,18126) = 54722394