What is the Least Common Multiple of 11591 and 11600?

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 11591 and 11600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11591 and 11600, than apply into the LCM equation.

GCF(11591,11600) = 1
LCM(11591,11600) = ( 11591 × 11600) / 1
LCM(11591,11600) = 134455600 / 1
LCM(11591,11600) = 134455600

Least Common Multiple (LCM) of 11591 and 11600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11591 and 11600. First we will calculate the prime factors of 11591 and 11600.

Prime Factorization of 11591

Prime Factorization of 11600

Now multiplying the highest exponent prime factors to calculate the LCM of 11591 and 11600.

LCM(11591,11600) = 67¹ × 173¹ × 2⁴ × 5² × 29¹
LCM(11591,11600) = 134455600