What is the Least Common Multiple of 11584 and 11602?

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 11584 and 11602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11584 and 11602, than apply into the LCM equation.

GCF(11584,11602) = 2
LCM(11584,11602) = ( 11584 × 11602) / 2
LCM(11584,11602) = 134397568 / 2
LCM(11584,11602) = 67198784

Least Common Multiple (LCM) of 11584 and 11602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11584 and 11602. First we will calculate the prime factors of 11584 and 11602.

Prime Factorization of 11584

Prime Factorization of 11602

Now multiplying the highest exponent prime factors to calculate the LCM of 11584 and 11602.

LCM(11584,11602) = 2⁶ × 181¹ × 5801¹
LCM(11584,11602) = 67198784