What is the Least Common Multiple of 23145 and 23165?

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 23145 and 23165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23145 and 23165, than apply into the LCM equation.

GCF(23145,23165) = 5
LCM(23145,23165) = ( 23145 × 23165) / 5
LCM(23145,23165) = 536153925 / 5
LCM(23145,23165) = 107230785

Least Common Multiple (LCM) of 23145 and 23165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23145 and 23165. First we will calculate the prime factors of 23145 and 23165.

Prime Factorization of 23145

Prime Factorization of 23165

Now multiplying the highest exponent prime factors to calculate the LCM of 23145 and 23165.

LCM(23145,23165) = 3¹ × 5¹ × 1543¹ × 41¹ × 113¹
LCM(23145,23165) = 107230785