What is the Least Common Multiple of 34491 and 34511?

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 34491 and 34511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34491 and 34511, than apply into the LCM equation.

GCF(34491,34511) = 1
LCM(34491,34511) = ( 34491 × 34511) / 1
LCM(34491,34511) = 1190318901 / 1
LCM(34491,34511) = 1190318901

Least Common Multiple (LCM) of 34491 and 34511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34491 and 34511. First we will calculate the prime factors of 34491 and 34511.

Prime Factorization of 34491

Prime Factorization of 34511

Now multiplying the highest exponent prime factors to calculate the LCM of 34491 and 34511.

LCM(34491,34511) = 3¹ × 11497¹ × 34511¹
LCM(34491,34511) = 1190318901