What is the Least Common Multiple of 11729 and 11743?

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 11729 and 11743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11729 and 11743, than apply into the LCM equation.

GCF(11729,11743) = 1
LCM(11729,11743) = ( 11729 × 11743) / 1
LCM(11729,11743) = 137733647 / 1
LCM(11729,11743) = 137733647

Least Common Multiple (LCM) of 11729 and 11743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11729 and 11743. First we will calculate the prime factors of 11729 and 11743.

Prime Factorization of 11729

Prime Factorization of 11743

Now multiplying the highest exponent prime factors to calculate the LCM of 11729 and 11743.

LCM(11729,11743) = 37¹ × 317¹ × 11743¹
LCM(11729,11743) = 137733647