What is the Least Common Multiple of 12723 and 12738?

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 12723 and 12738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12723 and 12738, than apply into the LCM equation.

GCF(12723,12738) = 3
LCM(12723,12738) = ( 12723 × 12738) / 3
LCM(12723,12738) = 162065574 / 3
LCM(12723,12738) = 54021858

Least Common Multiple (LCM) of 12723 and 12738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12723 and 12738. First we will calculate the prime factors of 12723 and 12738.

Prime Factorization of 12723

Prime Factorization of 12738

Now multiplying the highest exponent prime factors to calculate the LCM of 12723 and 12738.

LCM(12723,12738) = 3¹ × 4241¹ × 2¹ × 11¹ × 193¹
LCM(12723,12738) = 54021858