What is the Least Common Multiple of 11600 and 11605?

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 11600 and 11605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11600 and 11605, than apply into the LCM equation.

GCF(11600,11605) = 5
LCM(11600,11605) = ( 11600 × 11605) / 5
LCM(11600,11605) = 134618000 / 5
LCM(11600,11605) = 26923600

Least Common Multiple (LCM) of 11600 and 11605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11600 and 11605. First we will calculate the prime factors of 11600 and 11605.

Prime Factorization of 11600

Prime Factorization of 11605

Now multiplying the highest exponent prime factors to calculate the LCM of 11600 and 11605.

LCM(11600,11605) = 2⁴ × 5² × 29¹ × 11¹ × 211¹
LCM(11600,11605) = 26923600