What is the Least Common Multiple of 24314 and 24323?

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 24314 and 24323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24314 and 24323, than apply into the LCM equation.

GCF(24314,24323) = 1
LCM(24314,24323) = ( 24314 × 24323) / 1
LCM(24314,24323) = 591389422 / 1
LCM(24314,24323) = 591389422

Least Common Multiple (LCM) of 24314 and 24323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24314 and 24323. First we will calculate the prime factors of 24314 and 24323.

Prime Factorization of 24314

Prime Factorization of 24323

Now multiplying the highest exponent prime factors to calculate the LCM of 24314 and 24323.

LCM(24314,24323) = 2¹ × 12157¹ × 13¹ × 1871¹
LCM(24314,24323) = 591389422