What is the Least Common Multiple of 11488 and 11500?

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 11488 and 11500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11488 and 11500, than apply into the LCM equation.

GCF(11488,11500) = 4
LCM(11488,11500) = ( 11488 × 11500) / 4
LCM(11488,11500) = 132112000 / 4
LCM(11488,11500) = 33028000

Least Common Multiple (LCM) of 11488 and 11500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11488 and 11500. First we will calculate the prime factors of 11488 and 11500.

Prime Factorization of 11488

Prime Factorization of 11500

Now multiplying the highest exponent prime factors to calculate the LCM of 11488 and 11500.

LCM(11488,11500) = 2⁵ × 359¹ × 5³ × 23¹
LCM(11488,11500) = 33028000