What is the Least Common Multiple of 9048 and 9057?

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 9048 and 9057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9048 and 9057, than apply into the LCM equation.

GCF(9048,9057) = 3
LCM(9048,9057) = ( 9048 × 9057) / 3
LCM(9048,9057) = 81947736 / 3
LCM(9048,9057) = 27315912

Least Common Multiple (LCM) of 9048 and 9057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9048 and 9057. First we will calculate the prime factors of 9048 and 9057.

Prime Factorization of 9048

Prime Factorization of 9057

Now multiplying the highest exponent prime factors to calculate the LCM of 9048 and 9057.

LCM(9048,9057) = 2³ × 3¹ × 13¹ × 29¹ × 3019¹
LCM(9048,9057) = 27315912