What is the Least Common Multiple of 26016 and 26022?

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 26022 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 26022, than apply into the LCM equation.

GCF(26016,26022) = 6
LCM(26016,26022) = ( 26016 × 26022) / 6
LCM(26016,26022) = 676988352 / 6
LCM(26016,26022) = 112831392

Least Common Multiple (LCM) of 26016 and 26022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26016 and 26022. First we will calculate the prime factors of 26016 and 26022.

Prime Factorization of 26016

Prime Factorization of 26022

Now multiplying the highest exponent prime factors to calculate the LCM of 26016 and 26022.

LCM(26016,26022) = 2⁵ × 3¹ × 271¹ × 4337¹
LCM(26016,26022) = 112831392