What is the Least Common Multiple of 34379 and 34399?

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 34379 and 34399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34379 and 34399, than apply into the LCM equation.

GCF(34379,34399) = 1
LCM(34379,34399) = ( 34379 × 34399) / 1
LCM(34379,34399) = 1182603221 / 1
LCM(34379,34399) = 1182603221

Least Common Multiple (LCM) of 34379 and 34399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34379 and 34399. First we will calculate the prime factors of 34379 and 34399.

Prime Factorization of 34379

Prime Factorization of 34399

Now multiplying the highest exponent prime factors to calculate the LCM of 34379 and 34399.

LCM(34379,34399) = 31¹ × 1109¹ × 41¹ × 839¹
LCM(34379,34399) = 1182603221