What is the Least Common Multiple of 26057 and 26071?

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 26057 and 26071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26057 and 26071, than apply into the LCM equation.

GCF(26057,26071) = 1
LCM(26057,26071) = ( 26057 × 26071) / 1
LCM(26057,26071) = 679332047 / 1
LCM(26057,26071) = 679332047

Least Common Multiple (LCM) of 26057 and 26071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26057 and 26071. First we will calculate the prime factors of 26057 and 26071.

Prime Factorization of 26057

Prime Factorization of 26071

Now multiplying the highest exponent prime factors to calculate the LCM of 26057 and 26071.

LCM(26057,26071) = 71¹ × 367¹ × 29² × 31¹
LCM(26057,26071) = 679332047