#include "bits/stdc++.h" #include "atcoder/all" using namespace std; using namespace atcoder; using mint = modint1000000007; const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; //const bool debug = false; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } // f(k) = sum_{GCD(i, j) = k} g(i)h(j) // F(k) = sum_{k | i} f(i) template struct FastGCDConvolution { int n; FastGCDConvolution(int n) : n(n) {} void zeta(vector &v) { int n = v.size(); for (int k = 1; k < n; ++k) { for (int i = k * 2; i < n; i += k) { v[k] += v[i]; } } } void mebius(vector &v) { int n = v.size(); for (int k = n - 1; k >= 1; --k) { for (int i = k * 2; i < n; i += k) { v[k] -= v[i]; } } } vector mult(vector &a, vector &b) { vector c(n, 0); //vector subc(n, 0); //rep2(i, 1, a.size())subc[i] += a[i] * b[0]; //rep2(i, 1, b.size())subc[i] += a[0] * b[i]; zeta(a); zeta(b); for (int i = 0; i < min(a.size(), b.size()); ++i) c[i] = a[i] * b[i]; mebius(c); //rep(i, n)c[i] += subc[i]; return c; } }; long long gcd(long long a, long long b) { if (b == 0) return a; else return gcd(b, a%b); } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, m; cin >> n >> m; mint nm = ((mint)n) * m; mint ans = nm * (nm - 1)*(nm - 2) / 6; vectorv0(n), v1(m); rep(i, n) v0[i] = n - i; rep(i, m) v1[i] = m - i; FastGCDConvolution fz(max(n, m)); auto v = fz.mult(v0, v1); rep2(i, 1, max(n, m)) ans -= v[i] * (i - 1) * 2; ans -= ((mint)n)*m*(m - 1)*(m - 2) / 6; ans -= ((mint)m)*n*(n - 1)*(n - 2) / 6; cout << ans.val() << endl; return 0; }