#include <bits/stdc++.h>
#define pb push_back
#define f first
#define s second
#define rep(X, a,b) for(int X=a;X<b;++X)
#define ALL(a) (a).begin(), (a).end()
#define SZ(a) (int)(a).size()
#define NL "\n"
using namespace std;
typedef pair<long long,long long> pll;
typedef pair<int,int> pii;
typedef long long ll;
template<typename A, typename B> ostream& operator<<(ostream &os, const pair<A, B> &p) { return os << '(' << p.first << "," << p.second << ')'; }
template<typename A> ostream& operator<<(ostream &os, const vector<A> &p){
for(const auto &a:p)
os << a << " ";
os << "\n";
return os;
}
ll n, m;
ll a[300010], b[300010];
int check(ll x){
ll day=0;
rep(i,0,n){
if(max(a[i], b[i])*m>=x) day+=(x+max(a[i], b[i])-1)/max(a[i], b[i]);
else day+=m+(x-max(a[i], b[i])*m+b[i]-1)/b[i];
if(day>n*m) return 0;
}
return 1;
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin>>n>>m;
rep(i,0,n) cin>>a[i];
rep(i,0,n) cin>>b[i];
ll l=0, r=1ll<<60;
while(l<r-1){
ll mid=(l+r)>>1;
if(check(mid)) l=mid;
else r=mid;
}
cout<<l<<NL;
}
