#include <iostream>
#include <sstream>
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <ctime>
#include <cstring>
#include <string>
#include <vector>
#include <stack>
#include <queue>
#include <deque>
#include <map>
#include <set>
#include <bitset>
#include <numeric>
#include <utility>
#include <iomanip>
#include <algorithm>
#include <functional>
using namespace std;

typedef long long ll;
typedef vector<int> vint;
typedef vector<long long> vll;
typedef pair<int,int> pint;
typedef pair<long long, long long> pll;

#define MP make_pair
#define PB push_back
#define ALL(s) (s).begin(),(s).end()
#define EACH(i, s) for (__typeof__((s).begin()) i = (s).begin(); i != (s).end(); ++i)
#define COUT(x) cout << #x << " = " << (x) << " (L" << __LINE__ << ")" << endl

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
template<class T1, class T2> ostream& operator << (ostream &s, pair<T1,T2> P) 
{ return s << '<' << P.first << ", " << P.second << '>'; }
template<class T> ostream& operator << (ostream &s, vector<T> P) 
{ for (int i = 0; i < P.size(); ++i) { if (i > 0) { s << " "; } s << P[i]; } return s; }
template<class T> ostream& operator << (ostream &s, vector<vector<T> > P) 
{ for (int i = 0; i < P.size(); ++i) { s << endl << P[i]; } return s << endl; }
template<class T1, class T2> ostream& operator << (ostream &s, map<T1,T2> P) 
{ EACH(it, P) { s << "<" << it->first << "->" << it->second << "> "; } return s; }

long long a[3], m[3];

inline long long mod(long long a, long long m) {
    return (a % m + m) % m;
}

long long inv(long long a, long long m) {
    long long b = m, u = 1, v = 0;
    while (b) {
        long long t = a/b;
        a -= t*b; swap(a, b);
        u -= t*v; swap(u, v);
    }
    return mod(u, m);
}

long long gcd(long long a, long long b) {
    if (b == 0) return a;
    else return gcd(b, a % b);
}

long long lcm(long long a, long long b) {
    long long g = gcd(a, b);
    return a * b / g;
}

int main() {
    while (cin >> a[0] >> m[0] >> a[1] >> m[1] >> a[2] >> m[2]) {
        if (a[0] == 0) break;
        long long b[3];
        
        for (int i = 0; i < 3; ++i) {
            b[i] = 1;
            long long ta = a[i];
            while (ta != 1) {
                ++b[i];
                ta *= a[i];
                ta %= m[i];
                
                //cout <<a[i] << ", " <<  ta << endl;
            }
        }

        long long res = lcm(b[0], b[1]);
        res = lcm(res, b[2]);
        
        //cout << b[0] << ", " << b[1] << ", " << b[2] << endl;
        
        cout << res << endl;
    }
    return 0;
}
