What is the Least Common Multiple of 11145 and 11165?

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 11145 and 11165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11145 and 11165, than apply into the LCM equation.

GCF(11145,11165) = 5
LCM(11145,11165) = ( 11145 × 11165) / 5
LCM(11145,11165) = 124433925 / 5
LCM(11145,11165) = 24886785

Least Common Multiple (LCM) of 11145 and 11165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11145 and 11165. First we will calculate the prime factors of 11145 and 11165.

Prime Factorization of 11145

Prime Factorization of 11165

Now multiplying the highest exponent prime factors to calculate the LCM of 11145 and 11165.

LCM(11145,11165) = 3¹ × 5¹ × 743¹ × 7¹ × 11¹ × 29¹
LCM(11145,11165) = 24886785