What is the Least Common Multiple of 12696 and 12705?

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 12705 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 12705, than apply into the LCM equation.

GCF(12696,12705) = 3
LCM(12696,12705) = ( 12696 × 12705) / 3
LCM(12696,12705) = 161302680 / 3
LCM(12696,12705) = 53767560

Least Common Multiple (LCM) of 12696 and 12705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12696 and 12705. First we will calculate the prime factors of 12696 and 12705.

Prime Factorization of 12696

Prime Factorization of 12705

Now multiplying the highest exponent prime factors to calculate the LCM of 12696 and 12705.

LCM(12696,12705) = 2³ × 3¹ × 23² × 5¹ × 7¹ × 11²
LCM(12696,12705) = 53767560