What is the Least Common Multiple of 15165 and 15180?

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 15165 and 15180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15165 and 15180, than apply into the LCM equation.

GCF(15165,15180) = 15
LCM(15165,15180) = ( 15165 × 15180) / 15
LCM(15165,15180) = 230204700 / 15
LCM(15165,15180) = 15346980

Least Common Multiple (LCM) of 15165 and 15180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15165 and 15180. First we will calculate the prime factors of 15165 and 15180.

Prime Factorization of 15165

Prime Factorization of 15180

Now multiplying the highest exponent prime factors to calculate the LCM of 15165 and 15180.

LCM(15165,15180) = 3² × 5¹ × 337¹ × 2² × 11¹ × 23¹
LCM(15165,15180) = 15346980