What is the Least Common Multiple of 15252 and 15259?

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 15252 and 15259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15252 and 15259, than apply into the LCM equation.

GCF(15252,15259) = 1
LCM(15252,15259) = ( 15252 × 15259) / 1
LCM(15252,15259) = 232730268 / 1
LCM(15252,15259) = 232730268

Least Common Multiple (LCM) of 15252 and 15259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15252 and 15259. First we will calculate the prime factors of 15252 and 15259.

Prime Factorization of 15252

Prime Factorization of 15259

Now multiplying the highest exponent prime factors to calculate the LCM of 15252 and 15259.

LCM(15252,15259) = 2² × 3¹ × 31¹ × 41¹ × 15259¹
LCM(15252,15259) = 232730268