What is the Least Common Multiple of 52854 and 52872?

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 52854 and 52872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52854 and 52872, than apply into the LCM equation.

GCF(52854,52872) = 6
LCM(52854,52872) = ( 52854 × 52872) / 6
LCM(52854,52872) = 2794496688 / 6
LCM(52854,52872) = 465749448

Least Common Multiple (LCM) of 52854 and 52872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52854 and 52872. First we will calculate the prime factors of 52854 and 52872.

Prime Factorization of 52854

Prime Factorization of 52872

Now multiplying the highest exponent prime factors to calculate the LCM of 52854 and 52872.

LCM(52854,52872) = 2³ × 3¹ × 23¹ × 383¹ × 2203¹
LCM(52854,52872) = 465749448