What is the Least Common Multiple of 26016 and 26036?

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 26016 and 26036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26016 and 26036, than apply into the LCM equation.

GCF(26016,26036) = 4
LCM(26016,26036) = ( 26016 × 26036) / 4
LCM(26016,26036) = 677352576 / 4
LCM(26016,26036) = 169338144

Least Common Multiple (LCM) of 26016 and 26036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26016 and 26036. First we will calculate the prime factors of 26016 and 26036.

Prime Factorization of 26016

Prime Factorization of 26036

Now multiplying the highest exponent prime factors to calculate the LCM of 26016 and 26036.

LCM(26016,26036) = 2⁵ × 3¹ × 271¹ × 23¹ × 283¹
LCM(26016,26036) = 169338144