What is the Least Common Multiple of 13851 and 13867?

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 13851 and 13867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13851 and 13867, than apply into the LCM equation.

GCF(13851,13867) = 1
LCM(13851,13867) = ( 13851 × 13867) / 1
LCM(13851,13867) = 192071817 / 1
LCM(13851,13867) = 192071817

Least Common Multiple (LCM) of 13851 and 13867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13851 and 13867. First we will calculate the prime factors of 13851 and 13867.

Prime Factorization of 13851

Prime Factorization of 13867

Now multiplying the highest exponent prime factors to calculate the LCM of 13851 and 13867.

LCM(13851,13867) = 3⁶ × 19¹ × 7² × 283¹
LCM(13851,13867) = 192071817