What is the Least Common Multiple of 12278 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 12278 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 12278 and 12294, than apply into the LCM equation.

GCF(12278,12294) = 2
LCM(12278,12294) = ( 12278 × 12294) / 2
LCM(12278,12294) = 150945732 / 2
LCM(12278,12294) = 75472866

Least Common Multiple (LCM) of 12278 and 12294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12278 and 12294. First we will calculate the prime factors of 12278 and 12294.

Prime Factorization of 12278

Prime Factorization of 12294

Now multiplying the highest exponent prime factors to calculate the LCM of 12278 and 12294.

LCM(12278,12294) = 2¹ × 7¹ × 877¹ × 3² × 683¹
LCM(12278,12294) = 75472866