What is the Least Common Multiple of 12736 and 12742?

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 12742 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 12742, than apply into the LCM equation.

GCF(12736,12742) = 2
LCM(12736,12742) = ( 12736 × 12742) / 2
LCM(12736,12742) = 162282112 / 2
LCM(12736,12742) = 81141056

Least Common Multiple (LCM) of 12736 and 12742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12736 and 12742. First we will calculate the prime factors of 12736 and 12742.

Prime Factorization of 12736

Prime Factorization of 12742

Now multiplying the highest exponent prime factors to calculate the LCM of 12736 and 12742.

LCM(12736,12742) = 2⁶ × 199¹ × 23¹ × 277¹
LCM(12736,12742) = 81141056