What is the Least Common Multiple of 11585 and 11592?

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 11592 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 11592, than apply into the LCM equation.

GCF(11585,11592) = 7
LCM(11585,11592) = ( 11585 × 11592) / 7
LCM(11585,11592) = 134293320 / 7
LCM(11585,11592) = 19184760

Least Common Multiple (LCM) of 11585 and 11592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11585 and 11592. First we will calculate the prime factors of 11585 and 11592.

Prime Factorization of 11585

Prime Factorization of 11592

Now multiplying the highest exponent prime factors to calculate the LCM of 11585 and 11592.

LCM(11585,11592) = 5¹ × 7¹ × 331¹ × 2³ × 3² × 23¹
LCM(11585,11592) = 19184760