What is the Least Common Multiple of 78317 and 78323?

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 78317 and 78323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78317 and 78323, than apply into the LCM equation.

GCF(78317,78323) = 1
LCM(78317,78323) = ( 78317 × 78323) / 1
LCM(78317,78323) = 6134022391 / 1
LCM(78317,78323) = 6134022391

Least Common Multiple (LCM) of 78317 and 78323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78317 and 78323. First we will calculate the prime factors of 78317 and 78323.

Prime Factorization of 78317

Prime Factorization of 78323

Now multiplying the highest exponent prime factors to calculate the LCM of 78317 and 78323.

LCM(78317,78323) = 78317¹ × 7¹ × 67¹ × 167¹
LCM(78317,78323) = 6134022391