#include<bits/stdc++.h>
#define int long long
using namespace std;
int P[]={2,3,5,7,11,13,17,19,23,29,31,37};
int mypow(int a,int b){
    if(!b)return 1;
    if(b&1)return mypow(a,b-1)*a;
    return mypow(a*a,b/2);
}
signed main(){
    int T; cin>>T;
    while(T--){
        int X; cin>>X;
        int _X=X;
        vector<int> A(12);
        for(int i=0;i<12;i++){
            while(_X%P[i]==0){
                _X/=P[i];
                A[i]++;
            }
        }
        int ans=1e18;
        for(int i=0;i<12;i++){
            ans=min(ans,mypow(P[i],A[i]+1));
        }
        cout<<ans*X<<endl;
    }
}