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 as mt
def lcm(a,b):
    return a*b//mt.gcd(a,b)
n=int(input())
st=max(1,n-50)
ans=0
for i in range(st,n+1):
    for j in range(i+1,n+1):
        for k  in range(j+1,n+1):
            ans=max(ans,lcm(k,lcm(i,j)))
print(ans)
            
    