What is the Least Common Multiple of 12268 and 12288?

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 12268 and 12288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12268 and 12288, than apply into the LCM equation.

GCF(12268,12288) = 4
LCM(12268,12288) = ( 12268 × 12288) / 4
LCM(12268,12288) = 150749184 / 4
LCM(12268,12288) = 37687296

Least Common Multiple (LCM) of 12268 and 12288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12268 and 12288. First we will calculate the prime factors of 12268 and 12288.

Prime Factorization of 12268

Prime Factorization of 12288

Now multiplying the highest exponent prime factors to calculate the LCM of 12268 and 12288.

LCM(12268,12288) = 2¹² × 3067¹ × 3¹
LCM(12268,12288) = 37687296