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(a, b, c):
    m = a * b
    while a != 0 and b != 0:
        if a > b:
            a %= b
        else:
            b %= a
    b = m // (a + b)
    m = b * c
    while c != 0 and b != 0:
        if c > b:
            c %= b
        else:
            b %= c
    return m // (c + b)


n = int(input())
if n == 1:
    print(1)
if n == 2:
    print(2)
else:
    print(lcm(n, n - 1, n - 2))
