#include using namespace std; #define int long long #define rep(i,l,r) for(int i=(int)(l);i<(int)(r);i++) #define all(x) (x).begin(),(x).end() templatebool chmax(T &a,T b){if(abool chmin(T &a,T b){if(a>b){a=b;return 1;}return 0;} typedef pair pii; typedef vector vi; typedef vector vvi; const int inf = 1LL<<60; const int mod = 1e9 + 7; const double eps = 1e-9; /*{ }*/ int Pow(int b, int p){ if(p == 0) return 1; return Pow(b*b, p/2)*(p%2 ? b : 1); } signed main(){ int n, k; cin >> n >> k; int t = n; vector pf; rep(i, 2, t/i+1){ int c = 0; while(t%i == 0){ c++; t /= i; } if(c) pf.emplace_back(i, c); } if(t != 1) pf.emplace_back(t, 1); int m = pf.size(); vi v(m), z(n+1); int cur = 0; while(k){ if(v[cur] < pf[cur].second){ v[cur]++; z[pf[cur].first]++; k--; } cur = (cur+1)%m; } int ans = 1; rep(i, 0, m){ ans *= Pow(pf[i].first, v[i]); } vi p(n+1, 1); rep(i, 2, n+1){ rep(j, 2, n/i+1){ p[i*j] = 0; } } rep(i, 0, 30){ for(int j = 2; ans * j < n; j++){ if(p[j] and z[j] <= i){ ans *= j; z[j]++; } } } cout << ans << endl; // rep(i, 0, n+1) if(z[i]) cout << i << " " << z[i] << endl; return 0; }