What is the Least Common Multiple of 26336 and 26341?

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 26336 and 26341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26336 and 26341, than apply into the LCM equation.

GCF(26336,26341) = 1
LCM(26336,26341) = ( 26336 × 26341) / 1
LCM(26336,26341) = 693716576 / 1
LCM(26336,26341) = 693716576

Least Common Multiple (LCM) of 26336 and 26341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26336 and 26341. First we will calculate the prime factors of 26336 and 26341.

Prime Factorization of 26336

Prime Factorization of 26341

Now multiplying the highest exponent prime factors to calculate the LCM of 26336 and 26341.

LCM(26336,26341) = 2⁵ × 823¹ × 7¹ × 53¹ × 71¹
LCM(26336,26341) = 693716576