What is the Least Common Multiple of 18126 and 18141?

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 18141 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 18141, than apply into the LCM equation.

GCF(18126,18141) = 3
LCM(18126,18141) = ( 18126 × 18141) / 3
LCM(18126,18141) = 328823766 / 3
LCM(18126,18141) = 109607922

Least Common Multiple (LCM) of 18126 and 18141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18126 and 18141. First we will calculate the prime factors of 18126 and 18141.

Prime Factorization of 18126

Prime Factorization of 18141

Now multiplying the highest exponent prime factors to calculate the LCM of 18126 and 18141.

LCM(18126,18141) = 2¹ × 3² × 19¹ × 53¹ × 6047¹
LCM(18126,18141) = 109607922