#include <bits/stdc++.h>
using namespace std;
#define int long long
#define ar array
#define all(v) begin(v), end(v)
#define allr(v) rbegin(v), rend(v)
#define pb push_back
const int INF = 1e10;
void solve() {
int n, m; cin >> n >> m;
vector<int> a(n), b(n);
for (int &x : a) cin >> x;
for (int &x : b) cin >> x;
for (int i = 0; i < n; i++) a[i] = max(a[i], b[i]);
auto joke = [&](int ans) {
int cnt = 0;
for (int i = 0; i < n; i++) {
int omk = (ans + a[i] - 1) / a[i];
// if (omk > m) {
// omk = m + (ans - a[i]*m + b[i] - 1) / b[i];
// }
cnt += omk;
}
return cnt <= m*n;
};
int l = 0, r = 3e18+1;
int ans = 0;
while (l < r) {
int mid = l + (r-l)/2;
if (joke(mid)) ans = mid, l = mid+1;
else r = mid-1;
}
if (joke(l)) ans = l;
cout << ans << '\n';
}
int32_t main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int t = 1; //cin >> t;
while (t--) {
solve();
}
}
