#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define all(x) x.begin(),x.end()
#define int long long
#define ar array
#define rnd(a, b) uniform_int_distribution<int>(a, b)(rng)
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
template<class T>bool umax(T &a,T b){if(a<b){a=b;return true;}return false;}
template<class T>bool umin(T &a,T b){if(b<a){a=b;return true;}return false;}
namespace FAST {
template<typename T>
istream &operator>>(istream &cin, vector<T> &a) {
for (T &i: a) cin >> i;
return cin;
}
template<typename T>
ostream &operator<<(ostream &cout, vector<T> &a) {
for (T i: a) cout << i << ' ';
return cout;
}
}
using namespace FAST;
const int inf = 3e18 + 7;
const int mod = 1e9 + 7;
const int N = 6e5 + 5;
const int md = 998244353;
int n,m,k;
vector<int>a(N), b(N);
int solve(){
//~ cin >> n >> m;
//~ vector<int>a(n), b(n);
//~ cin >> a >> b;
int l = 1, r = 3e18, ans = -1;
while(l <= r){
int mid = (l + r) / 2;
//~ mid = 18;
int cnt = 0;
for(int i = 0;i<n;i++){
int mx = max(a[i], b[i]);
if(mx * m >= mid){
int cont = (mid + mx - 1) / mx;
cnt += m - cont;
}
}
for(int i = 0;i<n;i++){
int mx = max(a[i], b[i]);
if(mx * m >= mid)continue;
int u = mid;
u -= m * mx;
int cont = (u + b[i] - 1) / b[i];
cnt -= cont;
}
if(cnt >= 0){
l = mid + 1;
ans = mid;
}
else r = mid - 1;
//~ return;
}
return ans;
}
int check(){
int mn = inf;
for(int i = 0;i<n;i++){
umin(mn, max(a[i], b[i]));
}
return mn;
}
/*
*/
signed main()
{
// freopen("seq.in", "r", stdin);
// freopen("seq.out", "w", stdout);
ios_base::sync_with_stdio(0);cin.tie(NULL);cout.tie(NULL);
//~ int tt=1;//cin >> tt;
//~ while(tt--)solve();
cin >> n >> m;
for(int i = 0;i<n;i++)cin >> a[i];
for(int i = 0;i<n;i++)cin >> b[i];
cout << check() << "\n";
//~ int cnt = 1;
//~ while(true){
//~ for(int i = 0;i<n;i++){
//~ a[i] = rnd(1, 1000000000);
//~ b[i] = rnd(1, 1000000000);
//~ }
//~ if(solve() != check()){
//~ for(int i = 0;i<n;i++)cout << a[i] << " ";
//~ cout << "\n";
//~ for(int i = 0;i<n;i++)cout << b[i] << " ";
//~ cout << "\n";
//~ exit(0);
//~ }
//~ cout << "Tests passed" << " " << cnt++ << endl;
//~ }
}
