What is the Least Common Multiple of 18051 and 18069?

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 18051 and 18069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18051 and 18069, than apply into the LCM equation.

GCF(18051,18069) = 3
LCM(18051,18069) = ( 18051 × 18069) / 3
LCM(18051,18069) = 326163519 / 3
LCM(18051,18069) = 108721173

Least Common Multiple (LCM) of 18051 and 18069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18051 and 18069. First we will calculate the prime factors of 18051 and 18069.

Prime Factorization of 18051

Prime Factorization of 18069

Now multiplying the highest exponent prime factors to calculate the LCM of 18051 and 18069.

LCM(18051,18069) = 3¹ × 11¹ × 547¹ × 19¹ × 317¹
LCM(18051,18069) = 108721173