What is the Least Common Multiple of 11792 and 11808?

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 11792 and 11808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11792 and 11808, than apply into the LCM equation.

GCF(11792,11808) = 16
LCM(11792,11808) = ( 11792 × 11808) / 16
LCM(11792,11808) = 139239936 / 16
LCM(11792,11808) = 8702496

Least Common Multiple (LCM) of 11792 and 11808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11792 and 11808. First we will calculate the prime factors of 11792 and 11808.

Prime Factorization of 11792

Prime Factorization of 11808

Now multiplying the highest exponent prime factors to calculate the LCM of 11792 and 11808.

LCM(11792,11808) = 2⁵ × 11¹ × 67¹ × 3² × 41¹
LCM(11792,11808) = 8702496