#include <bits/stdc++.h>
using namespace std;
#define int long long
typedef long long ll;
const int mxn = 3e5 + 10;
const int mxm = 1e9 + 10;
ll a[mxn], b[mxn], x[mxn];
int n, m;
void build() {
for(int i = 0; i < n; i++) {
a[i] = min(a[i], b[i]);
x[i] = a[i] * m;
}
}
ll sus(ll s, ll a) {
return (s + a - 1) / a;
}
bool can(ll MID) {
ll MIN = 0, MAX = 0;
for(int i = 0; i < n; i++) {
if(x[i] < MID) MIN += (MID - x[i] + b[i] - 1) / b[i];
if(x[i] > MID) MAX += min(m, (x[i] - MID) / a[i]);
}
return MIN <= MAX;
}
signed main() {
cin >> n >> m;
for(int i = 0; i < n; i++)
cin >> a[i];
for(int j = 0; j < n; j++)
cin >> b[j];
build();
ll L = 0, R = 1e18 + 10;
while(R - L > 1) {
ll M = L + (R - L) / 2;
if(can(M)) L = M;
else R = M;
}
cout << L << '\n';
return 0;
}
