What is the Least Common Multiple of 15328 and 15345?

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 15328 and 15345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15328 and 15345, than apply into the LCM equation.

GCF(15328,15345) = 1
LCM(15328,15345) = ( 15328 × 15345) / 1
LCM(15328,15345) = 235208160 / 1
LCM(15328,15345) = 235208160

Least Common Multiple (LCM) of 15328 and 15345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15328 and 15345. First we will calculate the prime factors of 15328 and 15345.

Prime Factorization of 15328

Prime Factorization of 15345

Now multiplying the highest exponent prime factors to calculate the LCM of 15328 and 15345.

LCM(15328,15345) = 2⁵ × 479¹ × 3² × 5¹ × 11¹ × 31¹
LCM(15328,15345) = 235208160