What is the Least Common Multiple of 11199 and 11205?

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 11199 and 11205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11199 and 11205, than apply into the LCM equation.

GCF(11199,11205) = 3
LCM(11199,11205) = ( 11199 × 11205) / 3
LCM(11199,11205) = 125484795 / 3
LCM(11199,11205) = 41828265

Least Common Multiple (LCM) of 11199 and 11205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11199 and 11205. First we will calculate the prime factors of 11199 and 11205.

Prime Factorization of 11199

Prime Factorization of 11205

Now multiplying the highest exponent prime factors to calculate the LCM of 11199 and 11205.

LCM(11199,11205) = 3³ × 3733¹ × 5¹ × 83¹
LCM(11199,11205) = 41828265