What is the Least Common Multiple of 15239 and 15244?

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 15239 and 15244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15239 and 15244, than apply into the LCM equation.

GCF(15239,15244) = 1
LCM(15239,15244) = ( 15239 × 15244) / 1
LCM(15239,15244) = 232303316 / 1
LCM(15239,15244) = 232303316

Least Common Multiple (LCM) of 15239 and 15244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15239 and 15244. First we will calculate the prime factors of 15239 and 15244.

Prime Factorization of 15239

Prime Factorization of 15244

Now multiplying the highest exponent prime factors to calculate the LCM of 15239 and 15244.

LCM(15239,15244) = 7² × 311¹ × 2² × 37¹ × 103¹
LCM(15239,15244) = 232303316