What is the Least Common Multiple of 12896 and 12909?

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 12909 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 12909, than apply into the LCM equation.

GCF(12896,12909) = 13
LCM(12896,12909) = ( 12896 × 12909) / 13
LCM(12896,12909) = 166474464 / 13
LCM(12896,12909) = 12805728

Least Common Multiple (LCM) of 12896 and 12909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12896 and 12909. First we will calculate the prime factors of 12896 and 12909.

Prime Factorization of 12896

Prime Factorization of 12909

Now multiplying the highest exponent prime factors to calculate the LCM of 12896 and 12909.

LCM(12896,12909) = 2⁵ × 13¹ × 31¹ × 3¹ × 331¹
LCM(12896,12909) = 12805728