What is the Least Common Multiple of 47232 and 47252?

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 47252 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 47252, than apply into the LCM equation.

GCF(47232,47252) = 4
LCM(47232,47252) = ( 47232 × 47252) / 4
LCM(47232,47252) = 2231806464 / 4
LCM(47232,47252) = 557951616

Least Common Multiple (LCM) of 47232 and 47252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47232 and 47252. First we will calculate the prime factors of 47232 and 47252.

Prime Factorization of 47232

Prime Factorization of 47252

Now multiplying the highest exponent prime factors to calculate the LCM of 47232 and 47252.

LCM(47232,47252) = 2⁷ × 3² × 41¹ × 11813¹
LCM(47232,47252) = 557951616