What is the Least Common Multiple of 2165 and 2173?

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 2165 and 2173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2165 and 2173, than apply into the LCM equation.

GCF(2165,2173) = 1
LCM(2165,2173) = ( 2165 × 2173) / 1
LCM(2165,2173) = 4704545 / 1
LCM(2165,2173) = 4704545

Least Common Multiple (LCM) of 2165 and 2173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2165 and 2173. First we will calculate the prime factors of 2165 and 2173.

Prime Factorization of 2165

Prime Factorization of 2173

Now multiplying the highest exponent prime factors to calculate the LCM of 2165 and 2173.

LCM(2165,2173) = 5¹ × 433¹ × 41¹ × 53¹
LCM(2165,2173) = 4704545