What is the Least Common Multiple of 26289 and 26301?

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 26289 and 26301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26289 and 26301, than apply into the LCM equation.

GCF(26289,26301) = 3
LCM(26289,26301) = ( 26289 × 26301) / 3
LCM(26289,26301) = 691426989 / 3
LCM(26289,26301) = 230475663

Least Common Multiple (LCM) of 26289 and 26301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26289 and 26301. First we will calculate the prime factors of 26289 and 26301.

Prime Factorization of 26289

Prime Factorization of 26301

Now multiplying the highest exponent prime factors to calculate the LCM of 26289 and 26301.

LCM(26289,26301) = 3² × 23¹ × 127¹ × 11¹ × 797¹
LCM(26289,26301) = 230475663