What is the Least Common Multiple of 11808 and 11812?

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 11808 and 11812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11808 and 11812, than apply into the LCM equation.

GCF(11808,11812) = 4
LCM(11808,11812) = ( 11808 × 11812) / 4
LCM(11808,11812) = 139476096 / 4
LCM(11808,11812) = 34869024

Least Common Multiple (LCM) of 11808 and 11812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11808 and 11812. First we will calculate the prime factors of 11808 and 11812.

Prime Factorization of 11808

Prime Factorization of 11812

Now multiplying the highest exponent prime factors to calculate the LCM of 11808 and 11812.

LCM(11808,11812) = 2⁵ × 3² × 41¹ × 2953¹
LCM(11808,11812) = 34869024