#include<bits/stdc++.h>
#define ll long long
using namespace std;
const int N=3e5+10;
ll a[N],b[N];
bool op[N];
int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    ll n,m;
    cin>>n >>m;
    for(int i=1;i<=n;i++) cin>>a[i];
    for(int i=1;i<=n;i++) cin>>b[i];
    for(int i=1;i<=n;i++) op[i]=a[i]>b[i];
    ll l=0,r=1e18;
    while(l<r){
        ll mid=(l+r+1LL)/2LL;
        ll left=m*n;
        for(int i=1;i<=n;i++){
            ll tmp=mid;
            if(op[i]){
                ll att=(tmp+a[i]-1LL)/a[i];
                ll can=min(att,m);
                left-=can;
                tmp-=a[i]*can;
            }
            if(tmp>0LL){
                ll att=(tmp+b[i]-1LL)/b[i];
                left-=att;
            }
            if(left<0LL) break;
        }
        if(left<0LL) r=mid-1LL;
        else l=mid;
    }
    cout<<l;
}
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