What is the Least Common Multiple of 12468 and 12478?

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 12468 and 12478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12468 and 12478, than apply into the LCM equation.

GCF(12468,12478) = 2
LCM(12468,12478) = ( 12468 × 12478) / 2
LCM(12468,12478) = 155575704 / 2
LCM(12468,12478) = 77787852

Least Common Multiple (LCM) of 12468 and 12478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12468 and 12478. First we will calculate the prime factors of 12468 and 12478.

Prime Factorization of 12468

Prime Factorization of 12478

Now multiplying the highest exponent prime factors to calculate the LCM of 12468 and 12478.

LCM(12468,12478) = 2² × 3¹ × 1039¹ × 17¹ × 367¹
LCM(12468,12478) = 77787852