What is the Least Common Multiple of 12276 and 12294?

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 12276 and 12294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12276 and 12294, than apply into the LCM equation.

GCF(12276,12294) = 18
LCM(12276,12294) = ( 12276 × 12294) / 18
LCM(12276,12294) = 150921144 / 18
LCM(12276,12294) = 8384508

Least Common Multiple (LCM) of 12276 and 12294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12276 and 12294. First we will calculate the prime factors of 12276 and 12294.

Prime Factorization of 12276

Prime Factorization of 12294

Now multiplying the highest exponent prime factors to calculate the LCM of 12276 and 12294.

LCM(12276,12294) = 2² × 3² × 11¹ × 31¹ × 683¹
LCM(12276,12294) = 8384508