What is the Least Common Multiple of 15328 and 15340?

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 15340 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 15340, than apply into the LCM equation.

GCF(15328,15340) = 4
LCM(15328,15340) = ( 15328 × 15340) / 4
LCM(15328,15340) = 235131520 / 4
LCM(15328,15340) = 58782880

Least Common Multiple (LCM) of 15328 and 15340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15328 and 15340. First we will calculate the prime factors of 15328 and 15340.

Prime Factorization of 15328

Prime Factorization of 15340

Now multiplying the highest exponent prime factors to calculate the LCM of 15328 and 15340.

LCM(15328,15340) = 2⁵ × 479¹ × 5¹ × 13¹ × 59¹
LCM(15328,15340) = 58782880