What is the Least Common Multiple of 61311 and 61323?

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 61311 and 61323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61311 and 61323, than apply into the LCM equation.

GCF(61311,61323) = 3
LCM(61311,61323) = ( 61311 × 61323) / 3
LCM(61311,61323) = 3759774453 / 3
LCM(61311,61323) = 1253258151

Least Common Multiple (LCM) of 61311 and 61323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61311 and 61323. First we will calculate the prime factors of 61311 and 61323.

Prime Factorization of 61311

Prime Factorization of 61323

Now multiplying the highest exponent prime factors to calculate the LCM of 61311 and 61323.

LCM(61311,61323) = 3¹ × 107¹ × 191¹ × 20441¹
LCM(61311,61323) = 1253258151