What is the Least Common Multiple of 47184 and 47199?

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 47184 and 47199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47184 and 47199, than apply into the LCM equation.

GCF(47184,47199) = 3
LCM(47184,47199) = ( 47184 × 47199) / 3
LCM(47184,47199) = 2227037616 / 3
LCM(47184,47199) = 742345872

Least Common Multiple (LCM) of 47184 and 47199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47184 and 47199. First we will calculate the prime factors of 47184 and 47199.

Prime Factorization of 47184

Prime Factorization of 47199

Now multiplying the highest exponent prime factors to calculate the LCM of 47184 and 47199.

LCM(47184,47199) = 2⁴ × 3¹ × 983¹ × 15733¹
LCM(47184,47199) = 742345872