What is the Least Common Multiple of 12288 and 12297?

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 12288 and 12297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12288 and 12297, than apply into the LCM equation.

GCF(12288,12297) = 3
LCM(12288,12297) = ( 12288 × 12297) / 3
LCM(12288,12297) = 151105536 / 3
LCM(12288,12297) = 50368512

Least Common Multiple (LCM) of 12288 and 12297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12288 and 12297. First we will calculate the prime factors of 12288 and 12297.

Prime Factorization of 12288

Prime Factorization of 12297

Now multiplying the highest exponent prime factors to calculate the LCM of 12288 and 12297.

LCM(12288,12297) = 2¹² × 3¹ × 4099¹
LCM(12288,12297) = 50368512