What is the Least Common Multiple of 28659 and 28667?

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 28659 and 28667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28659 and 28667, than apply into the LCM equation.

GCF(28659,28667) = 1
LCM(28659,28667) = ( 28659 × 28667) / 1
LCM(28659,28667) = 821567553 / 1
LCM(28659,28667) = 821567553

Least Common Multiple (LCM) of 28659 and 28667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28659 and 28667. First we will calculate the prime factors of 28659 and 28667.

Prime Factorization of 28659

Prime Factorization of 28667

Now multiplying the highest exponent prime factors to calculate the LCM of 28659 and 28667.

LCM(28659,28667) = 3¹ × 41¹ × 233¹ × 109¹ × 263¹
LCM(28659,28667) = 821567553