What is the Least Common Multiple of 11808 and 11822?

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 11822 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 11822, than apply into the LCM equation.

GCF(11808,11822) = 2
LCM(11808,11822) = ( 11808 × 11822) / 2
LCM(11808,11822) = 139594176 / 2
LCM(11808,11822) = 69797088

Least Common Multiple (LCM) of 11808 and 11822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11808 and 11822. First we will calculate the prime factors of 11808 and 11822.

Prime Factorization of 11808

Prime Factorization of 11822

Now multiplying the highest exponent prime factors to calculate the LCM of 11808 and 11822.

LCM(11808,11822) = 2⁵ × 3² × 41¹ × 23¹ × 257¹
LCM(11808,11822) = 69797088