What is the Least Common Multiple of 23819 and 23832?

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 23819 and 23832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23819 and 23832, than apply into the LCM equation.

GCF(23819,23832) = 1
LCM(23819,23832) = ( 23819 × 23832) / 1
LCM(23819,23832) = 567654408 / 1
LCM(23819,23832) = 567654408

Least Common Multiple (LCM) of 23819 and 23832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23819 and 23832. First we will calculate the prime factors of 23819 and 23832.

Prime Factorization of 23819

Prime Factorization of 23832

Now multiplying the highest exponent prime factors to calculate the LCM of 23819 and 23832.

LCM(23819,23832) = 23819¹ × 2³ × 3² × 331¹
LCM(23819,23832) = 567654408