import sys
input = lambda :sys.stdin.readline()[:-1]
ni = lambda :int(input())
na = lambda :list(map(int,input().split()))
sys.setrecursionlimit(10**7)
yes = lambda :print("yes");Yes = lambda :print("Yes")
no = lambda :print("no");No = lambda :print("No")
#######################################################################



pl = [2,3,5,7,11,13,17,19,23,29,31,37,41,43]

    


def f(x,y):
    r = 1
    while True:
        if x%r:
            break
        r*=y
    return r

T = ni()
for i in range(T):
    x = ni()
    ans = 10**15
    for j in pl:
        ff = f(x,j)
        ans = min(ans,ff)
    print(x*ans)