What is the Least Common Multiple of 15264 and 15284?

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 15264 and 15284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15264 and 15284, than apply into the LCM equation.

GCF(15264,15284) = 4
LCM(15264,15284) = ( 15264 × 15284) / 4
LCM(15264,15284) = 233294976 / 4
LCM(15264,15284) = 58323744

Least Common Multiple (LCM) of 15264 and 15284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15264 and 15284. First we will calculate the prime factors of 15264 and 15284.

Prime Factorization of 15264

Prime Factorization of 15284

Now multiplying the highest exponent prime factors to calculate the LCM of 15264 and 15284.

LCM(15264,15284) = 2⁵ × 3² × 53¹ × 3821¹
LCM(15264,15284) = 58323744