What is the Least Common Multiple of 15308 and 15328?

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 15308 and 15328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15308 and 15328, than apply into the LCM equation.

GCF(15308,15328) = 4
LCM(15308,15328) = ( 15308 × 15328) / 4
LCM(15308,15328) = 234641024 / 4
LCM(15308,15328) = 58660256

Least Common Multiple (LCM) of 15308 and 15328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15308 and 15328. First we will calculate the prime factors of 15308 and 15328.

Prime Factorization of 15308

Prime Factorization of 15328

Now multiplying the highest exponent prime factors to calculate the LCM of 15308 and 15328.

LCM(15308,15328) = 2⁵ × 43¹ × 89¹ × 479¹
LCM(15308,15328) = 58660256