What is the Least Common Multiple of 54078 and 54093?

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 54078 and 54093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54078 and 54093, than apply into the LCM equation.

GCF(54078,54093) = 3
LCM(54078,54093) = ( 54078 × 54093) / 3
LCM(54078,54093) = 2925241254 / 3
LCM(54078,54093) = 975080418

Least Common Multiple (LCM) of 54078 and 54093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54078 and 54093. First we will calculate the prime factors of 54078 and 54093.

Prime Factorization of 54078

Prime Factorization of 54093

Now multiplying the highest exponent prime factors to calculate the LCM of 54078 and 54093.

LCM(54078,54093) = 2¹ × 3¹ × 9013¹ × 13¹ × 19¹ × 73¹
LCM(54078,54093) = 975080418