What is the Least Common Multiple of 13259 and 13271?

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 13259 and 13271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13259 and 13271, than apply into the LCM equation.

GCF(13259,13271) = 1
LCM(13259,13271) = ( 13259 × 13271) / 1
LCM(13259,13271) = 175960189 / 1
LCM(13259,13271) = 175960189

Least Common Multiple (LCM) of 13259 and 13271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13259 and 13271. First we will calculate the prime factors of 13259 and 13271.

Prime Factorization of 13259

Prime Factorization of 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 13259 and 13271.

LCM(13259,13271) = 13259¹ × 23¹ × 577¹
LCM(13259,13271) = 175960189