What is the Least Common Multiple of 15225 and 15239?

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 15225 and 15239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15225 and 15239, than apply into the LCM equation.

GCF(15225,15239) = 7
LCM(15225,15239) = ( 15225 × 15239) / 7
LCM(15225,15239) = 232013775 / 7
LCM(15225,15239) = 33144825

Least Common Multiple (LCM) of 15225 and 15239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15225 and 15239. First we will calculate the prime factors of 15225 and 15239.

Prime Factorization of 15225

Prime Factorization of 15239

Now multiplying the highest exponent prime factors to calculate the LCM of 15225 and 15239.

LCM(15225,15239) = 3¹ × 5² × 7² × 29¹ × 311¹
LCM(15225,15239) = 33144825