What is the Least Common Multiple of 12288 and 12307?

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 12307 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 12307, than apply into the LCM equation.

GCF(12288,12307) = 1
LCM(12288,12307) = ( 12288 × 12307) / 1
LCM(12288,12307) = 151228416 / 1
LCM(12288,12307) = 151228416

Least Common Multiple (LCM) of 12288 and 12307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12288 and 12307. First we will calculate the prime factors of 12288 and 12307.

Prime Factorization of 12288

Prime Factorization of 12307

Now multiplying the highest exponent prime factors to calculate the LCM of 12288 and 12307.

LCM(12288,12307) = 2¹² × 3¹ × 31¹ × 397¹
LCM(12288,12307) = 151228416