What is the Least Common Multiple of 18048 and 18057?

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 18048 and 18057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18048 and 18057, than apply into the LCM equation.

GCF(18048,18057) = 3
LCM(18048,18057) = ( 18048 × 18057) / 3
LCM(18048,18057) = 325892736 / 3
LCM(18048,18057) = 108630912

Least Common Multiple (LCM) of 18048 and 18057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18048 and 18057. First we will calculate the prime factors of 18048 and 18057.

Prime Factorization of 18048

Prime Factorization of 18057

Now multiplying the highest exponent prime factors to calculate the LCM of 18048 and 18057.

LCM(18048,18057) = 2⁷ × 3¹ × 47¹ × 13¹ × 463¹
LCM(18048,18057) = 108630912