What is the Least Common Multiple of 26016 and 26031?

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 26031 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 26031, than apply into the LCM equation.

GCF(26016,26031) = 3
LCM(26016,26031) = ( 26016 × 26031) / 3
LCM(26016,26031) = 677222496 / 3
LCM(26016,26031) = 225740832

Least Common Multiple (LCM) of 26016 and 26031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26016 and 26031. First we will calculate the prime factors of 26016 and 26031.

Prime Factorization of 26016

Prime Factorization of 26031

Now multiplying the highest exponent prime factors to calculate the LCM of 26016 and 26031.

LCM(26016,26031) = 2⁵ × 3¹ × 271¹ × 8677¹
LCM(26016,26031) = 225740832