What is the Least Common Multiple of 34394 and 34403?

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 34394 and 34403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34394 and 34403, than apply into the LCM equation.

GCF(34394,34403) = 1
LCM(34394,34403) = ( 34394 × 34403) / 1
LCM(34394,34403) = 1183256782 / 1
LCM(34394,34403) = 1183256782

Least Common Multiple (LCM) of 34394 and 34403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34394 and 34403. First we will calculate the prime factors of 34394 and 34403.

Prime Factorization of 34394

Prime Factorization of 34403

Now multiplying the highest exponent prime factors to calculate the LCM of 34394 and 34403.

LCM(34394,34403) = 2¹ × 29¹ × 593¹ × 34403¹
LCM(34394,34403) = 1183256782