What is the Least Common Multiple of 48288 and 48294?

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 48288 and 48294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48288 and 48294, than apply into the LCM equation.

GCF(48288,48294) = 6
LCM(48288,48294) = ( 48288 × 48294) / 6
LCM(48288,48294) = 2332020672 / 6
LCM(48288,48294) = 388670112

Least Common Multiple (LCM) of 48288 and 48294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48288 and 48294. First we will calculate the prime factors of 48288 and 48294.

Prime Factorization of 48288

Prime Factorization of 48294

Now multiplying the highest exponent prime factors to calculate the LCM of 48288 and 48294.

LCM(48288,48294) = 2⁵ × 3² × 503¹ × 2683¹
LCM(48288,48294) = 388670112