What is the Least Common Multiple of 47232 and 47239?

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 47239 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 47239, than apply into the LCM equation.

GCF(47232,47239) = 1
LCM(47232,47239) = ( 47232 × 47239) / 1
LCM(47232,47239) = 2231192448 / 1
LCM(47232,47239) = 2231192448

Least Common Multiple (LCM) of 47232 and 47239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47232 and 47239. First we will calculate the prime factors of 47232 and 47239.

Prime Factorization of 47232

Prime Factorization of 47239

Now multiplying the highest exponent prime factors to calculate the LCM of 47232 and 47239.

LCM(47232,47239) = 2⁷ × 3² × 41¹ × 97¹ × 487¹
LCM(47232,47239) = 2231192448