What is the Least Common Multiple of 15288 and 15297?

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 15288 and 15297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15288 and 15297, than apply into the LCM equation.

GCF(15288,15297) = 3
LCM(15288,15297) = ( 15288 × 15297) / 3
LCM(15288,15297) = 233860536 / 3
LCM(15288,15297) = 77953512

Least Common Multiple (LCM) of 15288 and 15297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15288 and 15297. First we will calculate the prime factors of 15288 and 15297.

Prime Factorization of 15288

Prime Factorization of 15297

Now multiplying the highest exponent prime factors to calculate the LCM of 15288 and 15297.

LCM(15288,15297) = 2³ × 3¹ × 7² × 13¹ × 5099¹
LCM(15288,15297) = 77953512