What is the Least Common Multiple of 12696 and 12704?

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 12696 and 12704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12696 and 12704, than apply into the LCM equation.

GCF(12696,12704) = 8
LCM(12696,12704) = ( 12696 × 12704) / 8
LCM(12696,12704) = 161289984 / 8
LCM(12696,12704) = 20161248

Least Common Multiple (LCM) of 12696 and 12704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12696 and 12704. First we will calculate the prime factors of 12696 and 12704.

Prime Factorization of 12696

Prime Factorization of 12704

Now multiplying the highest exponent prime factors to calculate the LCM of 12696 and 12704.

LCM(12696,12704) = 2⁵ × 3¹ × 23² × 397¹
LCM(12696,12704) = 20161248