What is the Least Common Multiple of 23839 and 23852?

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 23839 and 23852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23839 and 23852, than apply into the LCM equation.

GCF(23839,23852) = 1
LCM(23839,23852) = ( 23839 × 23852) / 1
LCM(23839,23852) = 568607828 / 1
LCM(23839,23852) = 568607828

Least Common Multiple (LCM) of 23839 and 23852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23839 and 23852. First we will calculate the prime factors of 23839 and 23852.

Prime Factorization of 23839

Prime Factorization of 23852

Now multiplying the highest exponent prime factors to calculate the LCM of 23839 and 23852.

LCM(23839,23852) = 31¹ × 769¹ × 2² × 67¹ × 89¹
LCM(23839,23852) = 568607828