What is the Least Common Multiple of 12378 and 12394?

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 12378 and 12394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12378 and 12394, than apply into the LCM equation.

GCF(12378,12394) = 2
LCM(12378,12394) = ( 12378 × 12394) / 2
LCM(12378,12394) = 153412932 / 2
LCM(12378,12394) = 76706466

Least Common Multiple (LCM) of 12378 and 12394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12378 and 12394. First we will calculate the prime factors of 12378 and 12394.

Prime Factorization of 12378

Prime Factorization of 12394

Now multiplying the highest exponent prime factors to calculate the LCM of 12378 and 12394.

LCM(12378,12394) = 2¹ × 3¹ × 2063¹ × 6197¹
LCM(12378,12394) = 76706466