What is the Least Common Multiple of 18108 and 18117?

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 18108 and 18117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18108 and 18117, than apply into the LCM equation.

GCF(18108,18117) = 9
LCM(18108,18117) = ( 18108 × 18117) / 9
LCM(18108,18117) = 328062636 / 9
LCM(18108,18117) = 36451404

Least Common Multiple (LCM) of 18108 and 18117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18108 and 18117. First we will calculate the prime factors of 18108 and 18117.

Prime Factorization of 18108

Prime Factorization of 18117

Now multiplying the highest exponent prime factors to calculate the LCM of 18108 and 18117.

LCM(18108,18117) = 2² × 3³ × 503¹ × 11¹ × 61¹
LCM(18108,18117) = 36451404