What is the Least Common Multiple of 12736 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 12736 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 12736 and 12743, than apply into the LCM equation.

GCF(12736,12743) = 1
LCM(12736,12743) = ( 12736 × 12743) / 1
LCM(12736,12743) = 162294848 / 1
LCM(12736,12743) = 162294848

Least Common Multiple (LCM) of 12736 and 12743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12736 and 12743. First we will calculate the prime factors of 12736 and 12743.

Prime Factorization of 12736

Prime Factorization of 12743

Now multiplying the highest exponent prime factors to calculate the LCM of 12736 and 12743.

LCM(12736,12743) = 2⁶ × 199¹ × 12743¹
LCM(12736,12743) = 162294848