What is the Least Common Multiple of 54288 and 54304?

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 54288 and 54304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54288 and 54304, than apply into the LCM equation.

GCF(54288,54304) = 16
LCM(54288,54304) = ( 54288 × 54304) / 16
LCM(54288,54304) = 2948055552 / 16
LCM(54288,54304) = 184253472

Least Common Multiple (LCM) of 54288 and 54304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54288 and 54304. First we will calculate the prime factors of 54288 and 54304.

Prime Factorization of 54288

Prime Factorization of 54304

Now multiplying the highest exponent prime factors to calculate the LCM of 54288 and 54304.

LCM(54288,54304) = 2⁵ × 3² × 13¹ × 29¹ × 1697¹
LCM(54288,54304) = 184253472