What is the Least Common Multiple of 15189 and 15198?

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 15189 and 15198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15189 and 15198, than apply into the LCM equation.

GCF(15189,15198) = 3
LCM(15189,15198) = ( 15189 × 15198) / 3
LCM(15189,15198) = 230842422 / 3
LCM(15189,15198) = 76947474

Least Common Multiple (LCM) of 15189 and 15198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15189 and 15198. First we will calculate the prime factors of 15189 and 15198.

Prime Factorization of 15189

Prime Factorization of 15198

Now multiplying the highest exponent prime factors to calculate the LCM of 15189 and 15198.

LCM(15189,15198) = 3¹ × 61¹ × 83¹ × 2¹ × 17¹ × 149¹
LCM(15189,15198) = 76947474