What is the Least Common Multiple of 47224 and 47232?

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 47224 and 47232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47224 and 47232, than apply into the LCM equation.

GCF(47224,47232) = 8
LCM(47224,47232) = ( 47224 × 47232) / 8
LCM(47224,47232) = 2230483968 / 8
LCM(47224,47232) = 278810496

Least Common Multiple (LCM) of 47224 and 47232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47224 and 47232. First we will calculate the prime factors of 47224 and 47232.

Prime Factorization of 47224

Prime Factorization of 47232

Now multiplying the highest exponent prime factors to calculate the LCM of 47224 and 47232.

LCM(47224,47232) = 2⁷ × 5903¹ × 3² × 41¹
LCM(47224,47232) = 278810496