mod = 1000000007
eps = 10**-9


def main():
    import sys
    input = sys.stdin.readline

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

    for _ in range(int(input())):
        X = int(input())
        mi = 10**12
        D = [0] * 12
        for i, p in enumerate(P):
            XX = X
            while XX % p == 0:
                D[i] += 1
                XX //= p
            mi = min(mi, p ** (D[i] + 1))
        for i in range(12):
            for j in range(i+1, 12):
                if (D[i] == 1 and D[j] == 2) or (D[i] == 2 and D[j] == 1):
                    mi = min(mi, P[i] * P[j])
        print(X * mi)


if __name__ == '__main__':
    main()