GCF and LCM Calculator Logo

What is the Least Common Multiple of 11582 and 11596?

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 (LCM) of 11582 and 11596 is 67152436.

LCM(11582,11596) = 67152436

LCM Calculator and
and

Least Common Multiple of 11582 and 11596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11582 and 11596, than apply into the LCM equation.

GCF(11582,11596) = 2
LCM(11582,11596) = ( 11582 × 11596) / 2
LCM(11582,11596) = 134304872 / 2
LCM(11582,11596) = 67152436

Least Common Multiple (LCM) of 11582 and 11596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11582 and 11596. First we will calculate the prime factors of 11582 and 11596.

Prime Factorization of 11582

Prime factors of 11582 are 2, 5791. Prime factorization of 11582 in exponential form is:

11582 = 21 × 57911

Prime Factorization of 11596

Prime factors of 11596 are 2, 13, 223. Prime factorization of 11596 in exponential form is:

11596 = 22 × 131 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 11582 and 11596.

LCM(11582,11596) = 22 × 57911 × 131 × 2231
LCM(11582,11596) = 67152436