What is the Least Common Multiple of 26317 and 26329?

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 26317 and 26329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26317 and 26329, than apply into the LCM equation.

GCF(26317,26329) = 1
LCM(26317,26329) = ( 26317 × 26329) / 1
LCM(26317,26329) = 692900293 / 1
LCM(26317,26329) = 692900293

Least Common Multiple (LCM) of 26317 and 26329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26317 and 26329. First we will calculate the prime factors of 26317 and 26329.

Prime Factorization of 26317

Prime Factorization of 26329

Now multiplying the highest exponent prime factors to calculate the LCM of 26317 and 26329.

LCM(26317,26329) = 26317¹ × 113¹ × 233¹
LCM(26317,26329) = 692900293