What is the Least Common Multiple of 11205 and 11223?

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 11205 and 11223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11205 and 11223, than apply into the LCM equation.

GCF(11205,11223) = 9
LCM(11205,11223) = ( 11205 × 11223) / 9
LCM(11205,11223) = 125753715 / 9
LCM(11205,11223) = 13972635

Least Common Multiple (LCM) of 11205 and 11223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11205 and 11223. First we will calculate the prime factors of 11205 and 11223.

Prime Factorization of 11205

Prime Factorization of 11223

Now multiplying the highest exponent prime factors to calculate the LCM of 11205 and 11223.

LCM(11205,11223) = 3³ × 5¹ × 83¹ × 29¹ × 43¹
LCM(11205,11223) = 13972635