What is the Least Common Multiple of 13078 and 13093?

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 13078 and 13093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13078 and 13093, than apply into the LCM equation.

GCF(13078,13093) = 1
LCM(13078,13093) = ( 13078 × 13093) / 1
LCM(13078,13093) = 171230254 / 1
LCM(13078,13093) = 171230254

Least Common Multiple (LCM) of 13078 and 13093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13078 and 13093. First we will calculate the prime factors of 13078 and 13093.

Prime Factorization of 13078

Prime Factorization of 13093

Now multiplying the highest exponent prime factors to calculate the LCM of 13078 and 13093.

LCM(13078,13093) = 2¹ × 13¹ × 503¹ × 13093¹
LCM(13078,13093) = 171230254