Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.

But I also don't want to use many numbers, so I'll choose three positive integers (they don't have to be distinct) which are not greater than *n*. Can you help me to find the maximum possible least common multiple of these three integers?
The first line contains an integer *n* (1 ≤ *n* ≤ 10<sup class="upper-index">6</sup>) — the *n* mentioned in the statement.
import math 
n=int(input())
s=0
for i in range(n,n-101,-1):
    for j in range(n,n-101,-1):
        for k in range(n,n-101,-1):
            l=i*j
            l//=math.gcd(i,j)
            e=math.gcd(l,k)
            l*=k//e
            s=max(s,l)
print(max(n,s))