What is the Least Common Multiple of 11585 and 11604?

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 11604 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 11604, than apply into the LCM equation.

GCF(11585,11604) = 1
LCM(11585,11604) = ( 11585 × 11604) / 1
LCM(11585,11604) = 134432340 / 1
LCM(11585,11604) = 134432340

Least Common Multiple (LCM) of 11585 and 11604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11585 and 11604. First we will calculate the prime factors of 11585 and 11604.

Prime Factorization of 11585

Prime Factorization of 11604

Now multiplying the highest exponent prime factors to calculate the LCM of 11585 and 11604.

LCM(11585,11604) = 5¹ × 7¹ × 331¹ × 2² × 3¹ × 967¹
LCM(11585,11604) = 134432340