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.
def lcm(num1, num2): 
    if(num1>num2): 
        num = num1 
        den = num2 
    else: 
        num = num2 
        den = num1 
    rem = num % den 
    while(rem != 0): 
        num = den 
        den = rem 
        rem = num % den 
    gcd = den 
    lcm = int(int(num1 * num2)/int(gcd)) 
    return lcm 
maxx = 0
n = int(input())
if(n==1):
    print (1)
elif(n==2):
    print(2)
elif( n%2 != 0):
    print(n*(n-1)*(n-2))
else:
    maxx = max(maxx,lcm(n,lcm(n-1,n-2)))
    maxx = max(maxx,lcm(n,lcm(n-1,n-3)))
    maxx = max(maxx,lcm(n-1,lcm(n-2,n-3)))
    print(maxx)
    