What is the Least Common Multiple of 11814 and 11832?

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 11814 and 11832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11814 and 11832, than apply into the LCM equation.

GCF(11814,11832) = 6
LCM(11814,11832) = ( 11814 × 11832) / 6
LCM(11814,11832) = 139783248 / 6
LCM(11814,11832) = 23297208

Least Common Multiple (LCM) of 11814 and 11832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11814 and 11832. First we will calculate the prime factors of 11814 and 11832.

Prime Factorization of 11814

Prime Factorization of 11832

Now multiplying the highest exponent prime factors to calculate the LCM of 11814 and 11832.

LCM(11814,11832) = 2³ × 3¹ × 11¹ × 179¹ × 17¹ × 29¹
LCM(11814,11832) = 23297208