What is the Least Common Multiple of 11085 and 11099?

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 11085 and 11099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11085 and 11099, than apply into the LCM equation.

GCF(11085,11099) = 1
LCM(11085,11099) = ( 11085 × 11099) / 1
LCM(11085,11099) = 123032415 / 1
LCM(11085,11099) = 123032415

Least Common Multiple (LCM) of 11085 and 11099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11085 and 11099. First we will calculate the prime factors of 11085 and 11099.

Prime Factorization of 11085

Prime Factorization of 11099

Now multiplying the highest exponent prime factors to calculate the LCM of 11085 and 11099.

LCM(11085,11099) = 3¹ × 5¹ × 739¹ × 11¹ × 1009¹
LCM(11085,11099) = 123032415