What is the Least Common Multiple of 12688 and 12696?

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 12688 and 12696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12688 and 12696, than apply into the LCM equation.

GCF(12688,12696) = 8
LCM(12688,12696) = ( 12688 × 12696) / 8
LCM(12688,12696) = 161086848 / 8
LCM(12688,12696) = 20135856

Least Common Multiple (LCM) of 12688 and 12696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12688 and 12696. First we will calculate the prime factors of 12688 and 12696.

Prime Factorization of 12688

Prime Factorization of 12696

Now multiplying the highest exponent prime factors to calculate the LCM of 12688 and 12696.

LCM(12688,12696) = 2⁴ × 13¹ × 61¹ × 3¹ × 23²
LCM(12688,12696) = 20135856