What is the Least Common Multiple of 13091 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 13091 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 13091 and 13099, than apply into the LCM equation.

GCF(13091,13099) = 1
LCM(13091,13099) = ( 13091 × 13099) / 1
LCM(13091,13099) = 171479009 / 1
LCM(13091,13099) = 171479009

Least Common Multiple (LCM) of 13091 and 13099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13091 and 13099. First we will calculate the prime factors of 13091 and 13099.

Prime Factorization of 13091

Prime Factorization of 13099

Now multiplying the highest exponent prime factors to calculate the LCM of 13091 and 13099.

LCM(13091,13099) = 13¹ × 19¹ × 53¹ × 13099¹
LCM(13091,13099) = 171479009