What is the Least Common Multiple of 12738 and 12743?

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 12738 and 12743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12738 and 12743, than apply into the LCM equation.

GCF(12738,12743) = 1
LCM(12738,12743) = ( 12738 × 12743) / 1
LCM(12738,12743) = 162320334 / 1
LCM(12738,12743) = 162320334

Least Common Multiple (LCM) of 12738 and 12743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12738 and 12743. First we will calculate the prime factors of 12738 and 12743.

Prime Factorization of 12738

Prime Factorization of 12743

Now multiplying the highest exponent prime factors to calculate the LCM of 12738 and 12743.

LCM(12738,12743) = 2¹ × 3¹ × 11¹ × 193¹ × 12743¹
LCM(12738,12743) = 162320334