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
def lcm(a,b):
    return (a*b//(math.gcd(a,b)));
a=int(input())
if(a==1):
    print(1)
    exit()
if(a==2):
    print(2)
    exit()
if(a==3):
    print(6)
    exit()
if(a%2==1):
    print(a*(a-1)*(a-2))
    exit()
else:
    r=lcm(lcm(n,n-1),n-2)
    m=lcm(lcm(n-1,n-2),n-3)
    print(max(r,m))
    
    