What is the Least Common Multiple of 18057 and 18072?

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 18057 and 18072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18057 and 18072, than apply into the LCM equation.

GCF(18057,18072) = 3
LCM(18057,18072) = ( 18057 × 18072) / 3
LCM(18057,18072) = 326326104 / 3
LCM(18057,18072) = 108775368

Least Common Multiple (LCM) of 18057 and 18072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18057 and 18072. First we will calculate the prime factors of 18057 and 18072.

Prime Factorization of 18057

Prime Factorization of 18072

Now multiplying the highest exponent prime factors to calculate the LCM of 18057 and 18072.

LCM(18057,18072) = 3² × 13¹ × 463¹ × 2³ × 251¹
LCM(18057,18072) = 108775368