What is the Least Common Multiple of 47184 and 47200?

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 47184 and 47200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47184 and 47200, than apply into the LCM equation.

GCF(47184,47200) = 16
LCM(47184,47200) = ( 47184 × 47200) / 16
LCM(47184,47200) = 2227084800 / 16
LCM(47184,47200) = 139192800

Least Common Multiple (LCM) of 47184 and 47200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47184 and 47200. First we will calculate the prime factors of 47184 and 47200.

Prime Factorization of 47184

Prime Factorization of 47200

Now multiplying the highest exponent prime factors to calculate the LCM of 47184 and 47200.

LCM(47184,47200) = 2⁵ × 3¹ × 983¹ × 5² × 59¹
LCM(47184,47200) = 139192800