What is the Least Common Multiple of 47448 and 47456?

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 47448 and 47456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47448 and 47456, than apply into the LCM equation.

GCF(47448,47456) = 8
LCM(47448,47456) = ( 47448 × 47456) / 8
LCM(47448,47456) = 2251692288 / 8
LCM(47448,47456) = 281461536

Least Common Multiple (LCM) of 47448 and 47456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47448 and 47456. First we will calculate the prime factors of 47448 and 47456.

Prime Factorization of 47448

Prime Factorization of 47456

Now multiplying the highest exponent prime factors to calculate the LCM of 47448 and 47456.

LCM(47448,47456) = 2⁵ × 3² × 659¹ × 1483¹
LCM(47448,47456) = 281461536