What is the Least Common Multiple of 13086 and 13099?

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 13086 and 13099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13086 and 13099, than apply into the LCM equation.

GCF(13086,13099) = 1
LCM(13086,13099) = ( 13086 × 13099) / 1
LCM(13086,13099) = 171413514 / 1
LCM(13086,13099) = 171413514

Least Common Multiple (LCM) of 13086 and 13099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13086 and 13099. First we will calculate the prime factors of 13086 and 13099.

Prime Factorization of 13086

Prime Factorization of 13099

Now multiplying the highest exponent prime factors to calculate the LCM of 13086 and 13099.

LCM(13086,13099) = 2¹ × 3² × 727¹ × 13099¹
LCM(13086,13099) = 171413514