What is the Least Common Multiple of 26896 and 26911?

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 26896 and 26911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26896 and 26911, than apply into the LCM equation.

GCF(26896,26911) = 1
LCM(26896,26911) = ( 26896 × 26911) / 1
LCM(26896,26911) = 723798256 / 1
LCM(26896,26911) = 723798256

Least Common Multiple (LCM) of 26896 and 26911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26896 and 26911. First we will calculate the prime factors of 26896 and 26911.

Prime Factorization of 26896

Prime Factorization of 26911

Now multiplying the highest exponent prime factors to calculate the LCM of 26896 and 26911.

LCM(26896,26911) = 2⁴ × 41² × 17¹ × 1583¹
LCM(26896,26911) = 723798256