What is the Least Common Multiple of 34378 and 34394?

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 34378 and 34394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34378 and 34394, than apply into the LCM equation.

GCF(34378,34394) = 2
LCM(34378,34394) = ( 34378 × 34394) / 2
LCM(34378,34394) = 1182396932 / 2
LCM(34378,34394) = 591198466

Least Common Multiple (LCM) of 34378 and 34394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34378 and 34394. First we will calculate the prime factors of 34378 and 34394.

Prime Factorization of 34378

Prime Factorization of 34394

Now multiplying the highest exponent prime factors to calculate the LCM of 34378 and 34394.

LCM(34378,34394) = 2¹ × 17189¹ × 29¹ × 593¹
LCM(34378,34394) = 591198466