What is the Least Common Multiple of 54314 and 54323?

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 54314 and 54323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54314 and 54323, than apply into the LCM equation.

GCF(54314,54323) = 1
LCM(54314,54323) = ( 54314 × 54323) / 1
LCM(54314,54323) = 2950499422 / 1
LCM(54314,54323) = 2950499422

Least Common Multiple (LCM) of 54314 and 54323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54314 and 54323. First we will calculate the prime factors of 54314 and 54323.

Prime Factorization of 54314

Prime Factorization of 54323

Now multiplying the highest exponent prime factors to calculate the LCM of 54314 and 54323.

LCM(54314,54323) = 2¹ × 13¹ × 2089¹ × 54323¹
LCM(54314,54323) = 2950499422