What is the Least Common Multiple of 15084 and 15093?

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 15084 and 15093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15084 and 15093, than apply into the LCM equation.

GCF(15084,15093) = 9
LCM(15084,15093) = ( 15084 × 15093) / 9
LCM(15084,15093) = 227662812 / 9
LCM(15084,15093) = 25295868

Least Common Multiple (LCM) of 15084 and 15093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15084 and 15093. First we will calculate the prime factors of 15084 and 15093.

Prime Factorization of 15084

Prime Factorization of 15093

Now multiplying the highest exponent prime factors to calculate the LCM of 15084 and 15093.

LCM(15084,15093) = 2² × 3³ × 419¹ × 13¹ × 43¹
LCM(15084,15093) = 25295868