What is the Least Common Multiple of 54048 and 54057?

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 54048 and 54057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54048 and 54057, than apply into the LCM equation.

GCF(54048,54057) = 3
LCM(54048,54057) = ( 54048 × 54057) / 3
LCM(54048,54057) = 2921672736 / 3
LCM(54048,54057) = 973890912

Least Common Multiple (LCM) of 54048 and 54057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54048 and 54057. First we will calculate the prime factors of 54048 and 54057.

Prime Factorization of 54048

Prime Factorization of 54057

Now multiplying the highest exponent prime factors to calculate the LCM of 54048 and 54057.

LCM(54048,54057) = 2⁵ × 3¹ × 563¹ × 37¹ × 487¹
LCM(54048,54057) = 973890912