What is the Least Common Multiple of 34385 and 34395?

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 34385 and 34395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34385 and 34395, than apply into the LCM equation.

GCF(34385,34395) = 5
LCM(34385,34395) = ( 34385 × 34395) / 5
LCM(34385,34395) = 1182672075 / 5
LCM(34385,34395) = 236534415

Least Common Multiple (LCM) of 34385 and 34395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34385 and 34395. First we will calculate the prime factors of 34385 and 34395.

Prime Factorization of 34385

Prime Factorization of 34395

Now multiplying the highest exponent prime factors to calculate the LCM of 34385 and 34395.

LCM(34385,34395) = 5¹ × 13¹ × 23² × 3¹ × 2293¹
LCM(34385,34395) = 236534415