What is the Least Common Multiple of 9288 and 9294?

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 9288 and 9294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9288 and 9294, than apply into the LCM equation.

GCF(9288,9294) = 6
LCM(9288,9294) = ( 9288 × 9294) / 6
LCM(9288,9294) = 86322672 / 6
LCM(9288,9294) = 14387112

Least Common Multiple (LCM) of 9288 and 9294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9288 and 9294. First we will calculate the prime factors of 9288 and 9294.

Prime Factorization of 9288

Prime Factorization of 9294

Now multiplying the highest exponent prime factors to calculate the LCM of 9288 and 9294.

LCM(9288,9294) = 2³ × 3³ × 43¹ × 1549¹
LCM(9288,9294) = 14387112