What is the Least Common Multiple of 13872 and 13891?

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 13872 and 13891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13872 and 13891, than apply into the LCM equation.

GCF(13872,13891) = 1
LCM(13872,13891) = ( 13872 × 13891) / 1
LCM(13872,13891) = 192695952 / 1
LCM(13872,13891) = 192695952

Least Common Multiple (LCM) of 13872 and 13891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13872 and 13891. First we will calculate the prime factors of 13872 and 13891.

Prime Factorization of 13872

Prime Factorization of 13891

Now multiplying the highest exponent prime factors to calculate the LCM of 13872 and 13891.

LCM(13872,13891) = 2⁴ × 3¹ × 17² × 29¹ × 479¹
LCM(13872,13891) = 192695952