#include <bits/stdc++.h>
using namespace std;

#define MEM(a, b) memset(a, (b), sizeof(a))
#define repn(i, a, n) for (int i = a; i < n; i++)
#define revn(i, a, n) for (int i = a; i > n; i--)
#define rep(i, n) for (int i = 0; i < n; i++)
#define rev(i, a) for (int i = a; i > -1; i--)
#define mp make_pair
#define pb push_back
#define ff first
#define ss second
#define INF 1000000010
#define LLINF 1000000000000000010;
#define MOD 1000000007 // 998244353 1000000007
#define PI 3.141592653589793238462643383279502884197169399375105820974945
#define fastio ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
#define all(v) v.begin(), v.end()
#define rall(v) v.rbegin(), v.rend()
#define POPCOUNT __builtin_popcountll
#define RIGHTMOST __builtin_ctzll
#define LEFTMOST(x) (63-__builtin_clzll((x)))
typedef long long ll;
typedef vector<int> vi;
typedef vector<double> vd;
typedef vector<ll> vll;
typedef vector<string> vs;
typedef vector<vi> vii;
typedef pair<int, int> pii;

//debugging output in cerr
#define n_l '\n'
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]: "; cerr << to_string(__VA_ARGS__) << endl
template <typename T, size_t N> int SIZE(const T (&t)[N]){ return N; } template<typename T> int SIZE(const T &t){ return t.size(); } string to_string(const string s, int x1=0, int x2=1e9){ return '"' + ((x1 < s.size()) ? s.substr(x1, x2-x1+1) : "") + '"'; } string to_string(const char* s) { return to_string((string) s); } string to_string(const bool b) { return (b ? "true" : "false"); } string to_string(const char c){ return string({c}); } template<size_t N> string to_string(const bitset<N> &b, int x1=0, int x2=1e9){ string t = ""; for(int __iii__ = min(x1,SIZE(b)),  __jjj__ = min(x2, SIZE(b)-1); __iii__ <= __jjj__; ++__iii__){ t += b[__iii__] + '0'; } return '"' + t + '"'; } template <typename A, typename... C> string to_string(const A (&v), int x1=0, int x2=1e9, C... coords); int l_v_l_v_l = 0, t_a_b_s = 0; template <typename A, typename B> string to_string(const pair<A, B> &p) { l_v_l_v_l++; string res = "(" + to_string(p.first) + ", " + to_string(p.second) + ")"; l_v_l_v_l--; return res; } template <typename A, typename... C> string to_string(const A (&v), int x1, int x2, C... coords) { int rnk = rank<A>::value; string tab(t_a_b_s, ' '); string res = ""; bool first = true; if(l_v_l_v_l == 0) res += n_l; res += tab + "["; x1 = min(x1, SIZE(v)), x2 = min(x2, SIZE(v)); auto l = begin(v); advance(l, x1); auto r = l; advance(r, (x2-x1) + (x2 < SIZE(v))); for (auto e = l; e != r; e = next(e)) { if (!first) { res += ", "; } first = false; l_v_l_v_l++; if(e != l){ if(rnk > 1) { res += n_l; t_a_b_s = l_v_l_v_l; }; } else{ t_a_b_s = 0; } res += to_string(*e, coords...); l_v_l_v_l--; } res += "]"; if(l_v_l_v_l == 0) res += n_l; return res; } void debugm(){;} template<typename Heads, typename... Tails> void debugm(Heads H, Tails... T){ cerr << to_string(H) << " | "; debugm(T...); }
#define debugm(...) cerr << "[" << #__VA_ARGS__ << "]: "; debugm(__VA_ARGS__); cerr << endl

double round(double num, int dec) {return std::round(num*pow(10,dec))/pow(10,dec);}
template <typename T> string toString(T x){string s; while (x) {s.push_back(x % 10 + '0'); x /= 10;}reverse(s.begin(), s.end());return s;}
long long toInt(string &x){long long sum = 0; for (int i = 0; i < x.size(); i++) {sum *= 10;sum += (x[i]-'0');}return sum;}
vector<string> split(string s, char delim) {replace(s.begin(),s.end(),delim,' ');stringstream ss(s); string buf;vector<string> v;while (ss>>buf) v.push_back(buf);return v;}
template<typename T, int size> int siz(T(&)[size]){return size;}
long long POW(long long base, long long exp) {long long res = 1;while (exp > 0) {if (exp % 2 == 1){res= (res * base) % MOD;}exp = exp >> 1;base = (base * base) % MOD;}return res;}
int gcd(int a, int b) {return (b == 0 ? a : gcd(b, a%b));}
int lcm(int a, int b) {return a * (b/gcd(a,b));}

/*---------------------------Bitmask------------------------------*/
//int Set(int N, int pos) {return N=N | (1<<pos);}
//int reset(int N, int pos) {return N= N & ~(1<<pos);}
//bool check(int N, int pos) {return (bool)(N & (1<<pos));}
/*----------------------------------------------------------------*/



int main() {
  ll n, m; cin >> n >> m;
  string s, t; cin >> s >> t;
 
  ll result = 0;
  ll lcd = lcm(n, m);
  ll steplcd = (lcd / n) * (lcd / m);
 
  for (ll i = 0; i < lcd; i += steplcd) {
    if (s[i * n / lcd] != t[i * m / lcd]) {
      result = -1;
      break;
    }
  }
  if (result != -1) result = lcd;
 
  cout << result << endl;
  return 0;
}


Measured memory_bytes: 3832