What is the Least Common Multiple of 11585 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 of 11585 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 11585 and 11596, than apply into the LCM equation.

GCF(11585,11596) = 1
LCM(11585,11596) = ( 11585 × 11596) / 1
LCM(11585,11596) = 134339660 / 1
LCM(11585,11596) = 134339660

Least Common Multiple (LCM) of 11585 and 11596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11585 and 11596. First we will calculate the prime factors of 11585 and 11596.

Prime Factorization of 11585

Prime Factorization of 11596

Now multiplying the highest exponent prime factors to calculate the LCM of 11585 and 11596.

LCM(11585,11596) = 5¹ × 7¹ × 331¹ × 2² × 13¹ × 223¹
LCM(11585,11596) = 134339660