What is the Least Common Multiple of 12896 and 12912?

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 12896 and 12912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12896 and 12912, than apply into the LCM equation.

GCF(12896,12912) = 16
LCM(12896,12912) = ( 12896 × 12912) / 16
LCM(12896,12912) = 166513152 / 16
LCM(12896,12912) = 10407072

Least Common Multiple (LCM) of 12896 and 12912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12896 and 12912. First we will calculate the prime factors of 12896 and 12912.

Prime Factorization of 12896

Prime Factorization of 12912

Now multiplying the highest exponent prime factors to calculate the LCM of 12896 and 12912.

LCM(12896,12912) = 2⁵ × 13¹ × 31¹ × 3¹ × 269¹
LCM(12896,12912) = 10407072