What is the Least Common Multiple of 11488 and 11493?

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 11493 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 11493, than apply into the LCM equation.

GCF(11488,11493) = 1
LCM(11488,11493) = ( 11488 × 11493) / 1
LCM(11488,11493) = 132031584 / 1
LCM(11488,11493) = 132031584

Least Common Multiple (LCM) of 11488 and 11493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11488 and 11493. First we will calculate the prime factors of 11488 and 11493.

Prime Factorization of 11488

Prime Factorization of 11493

Now multiplying the highest exponent prime factors to calculate the LCM of 11488 and 11493.

LCM(11488,11493) = 2⁵ × 359¹ × 3² × 1277¹
LCM(11488,11493) = 132031584