What is the Least Common Multiple of 26854 and 26867?

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 26854 and 26867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26854 and 26867, than apply into the LCM equation.

GCF(26854,26867) = 1
LCM(26854,26867) = ( 26854 × 26867) / 1
LCM(26854,26867) = 721486418 / 1
LCM(26854,26867) = 721486418

Least Common Multiple (LCM) of 26854 and 26867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26854 and 26867. First we will calculate the prime factors of 26854 and 26867.

Prime Factorization of 26854

Prime Factorization of 26867

Now multiplying the highest exponent prime factors to calculate the LCM of 26854 and 26867.

LCM(26854,26867) = 2¹ × 29¹ × 463¹ × 67¹ × 401¹
LCM(26854,26867) = 721486418