What is the Least Common Multiple of 15288 and 15307?

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 15307 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 15307, than apply into the LCM equation.

GCF(15288,15307) = 1
LCM(15288,15307) = ( 15288 × 15307) / 1
LCM(15288,15307) = 234013416 / 1
LCM(15288,15307) = 234013416

Least Common Multiple (LCM) of 15288 and 15307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15288 and 15307. First we will calculate the prime factors of 15288 and 15307.

Prime Factorization of 15288

Prime Factorization of 15307

Now multiplying the highest exponent prime factors to calculate the LCM of 15288 and 15307.

LCM(15288,15307) = 2³ × 3¹ × 7² × 13¹ × 15307¹
LCM(15288,15307) = 234013416