What is the Least Common Multiple of 34385 and 34391?

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 34391 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 34391, than apply into the LCM equation.

GCF(34385,34391) = 1
LCM(34385,34391) = ( 34385 × 34391) / 1
LCM(34385,34391) = 1182534535 / 1
LCM(34385,34391) = 1182534535

Least Common Multiple (LCM) of 34385 and 34391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34385 and 34391. First we will calculate the prime factors of 34385 and 34391.

Prime Factorization of 34385

Prime Factorization of 34391

Now multiplying the highest exponent prime factors to calculate the LCM of 34385 and 34391.

LCM(34385,34391) = 5¹ × 13¹ × 23² × 7¹ × 17³
LCM(34385,34391) = 1182534535