What is the Least Common Multiple of 28179 and 28191?

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 28179 and 28191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28179 and 28191, than apply into the LCM equation.

GCF(28179,28191) = 3
LCM(28179,28191) = ( 28179 × 28191) / 3
LCM(28179,28191) = 794394189 / 3
LCM(28179,28191) = 264798063

Least Common Multiple (LCM) of 28179 and 28191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28179 and 28191. First we will calculate the prime factors of 28179 and 28191.

Prime Factorization of 28179

Prime Factorization of 28191

Now multiplying the highest exponent prime factors to calculate the LCM of 28179 and 28191.

LCM(28179,28191) = 3² × 31¹ × 101¹ × 9397¹
LCM(28179,28191) = 264798063