What is the Least Common Multiple of 11808 and 11823?

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 11823 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 11823, than apply into the LCM equation.

GCF(11808,11823) = 3
LCM(11808,11823) = ( 11808 × 11823) / 3
LCM(11808,11823) = 139605984 / 3
LCM(11808,11823) = 46535328

Least Common Multiple (LCM) of 11808 and 11823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11808 and 11823. First we will calculate the prime factors of 11808 and 11823.

Prime Factorization of 11808

Prime Factorization of 11823

Now multiplying the highest exponent prime factors to calculate the LCM of 11808 and 11823.

LCM(11808,11823) = 2⁵ × 3² × 41¹ × 7¹ × 563¹
LCM(11808,11823) = 46535328