#include<bits/stdc++.h>
using namespace std;
#include <atcoder/all>
using namespace atcoder;
using mint=modint998244353; //1000000007;
using ll=long long;
using pp=pair<int,int>;
#define sr string 
#define vc vector
#define fi first
#define se second
#define rep(i,n) for(int i=0;i<(int)n;i++)
#define pb push_back
#define all(v) v.begin(),v.end()
#define pque priority_queue
#define bpc(a) __builtin_popcount(a)
int main(){
  ll m=1e6;
  vc<ll>bo(m,1);
  vc<ll>ps;
  for(ll i=2;i<m;i++)if(bo[i]){
    ps.pb(i); 
    for(ll j=i*2;j<m;j+=i)bo[j]=0;
  }
  m=ps[20];
  vc<ll>px;
  rep(i,20){
  	ll now=ps[i];
    while(now<m){px.pb(now); now*=ps[i];}
  }
  sort(all(px));
  ll t;cin>>t;
  //rep(i,20)cout<<px[i]<<' ';
  rep(i,t){
    ll x;cin>>x;
    for(auto au:px)if(x%au!=0){
      cout<<x*au<<"\n";
      break;
    }
  }
}