What is the Least Common Multiple of 47232 and 47241?

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 47232 and 47241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47232 and 47241, than apply into the LCM equation.

GCF(47232,47241) = 9
LCM(47232,47241) = ( 47232 × 47241) / 9
LCM(47232,47241) = 2231286912 / 9
LCM(47232,47241) = 247920768

Least Common Multiple (LCM) of 47232 and 47241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47232 and 47241. First we will calculate the prime factors of 47232 and 47241.

Prime Factorization of 47232

Prime Factorization of 47241

Now multiplying the highest exponent prime factors to calculate the LCM of 47232 and 47241.

LCM(47232,47241) = 2⁷ × 3² × 41¹ × 29¹ × 181¹
LCM(47232,47241) = 247920768