What is the Least Common Multiple of 52855 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 52855 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 52855 and 52872, than apply into the LCM equation.

GCF(52855,52872) = 1
LCM(52855,52872) = ( 52855 × 52872) / 1
LCM(52855,52872) = 2794549560 / 1
LCM(52855,52872) = 2794549560

Least Common Multiple (LCM) of 52855 and 52872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52855 and 52872. First we will calculate the prime factors of 52855 and 52872.

Prime Factorization of 52855

Prime Factorization of 52872

Now multiplying the highest exponent prime factors to calculate the LCM of 52855 and 52872.

LCM(52855,52872) = 5¹ × 11¹ × 31² × 2³ × 3¹ × 2203¹
LCM(52855,52872) = 2794549560