What is the Least Common Multiple of 26682 and 26696?

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 26682 and 26696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26682 and 26696, than apply into the LCM equation.

GCF(26682,26696) = 2
LCM(26682,26696) = ( 26682 × 26696) / 2
LCM(26682,26696) = 712302672 / 2
LCM(26682,26696) = 356151336

Least Common Multiple (LCM) of 26682 and 26696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26682 and 26696. First we will calculate the prime factors of 26682 and 26696.

Prime Factorization of 26682

Prime Factorization of 26696

Now multiplying the highest exponent prime factors to calculate the LCM of 26682 and 26696.

LCM(26682,26696) = 2³ × 3¹ × 4447¹ × 47¹ × 71¹
LCM(26682,26696) = 356151336