package contest190913; import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.Arrays; import java.util.HashMap; import java.util.InputMismatchException; import java.util.Map; public class E { InputStream is; PrintWriter out; String INPUT = ""; void solve() { // a, b // gcd(a, b) = 1 // sum (h-a)*(w-b)*2 // + (h-1)w + w(h-1) long H = nl(), W = nl(); int mod = 1000000007; cache = new HashMap<>(); long ab = dfsab(H, W); cache = new HashMap<>(); long a = dfsa(H, W); long b = dfsa(W, H); cache = new HashMap<>(); long C = dfs(H, W); long ans = (2*H*W%mod*C - 2*W*a - 2*H*b + 2*ab + (H-1)*W + H*(W-1)) % mod; if(ans < 0)ans += mod; // tr(a); // long q = 0; // long r = 0; // long s = 0; // for(int i = 1;i <= H;i++) { // for(int j = 1;j <= W;j++) { // if(gcd(i, j) == 1) { // q += (long)i*j; // r += (long)i; // s += 1; // } // } // } // tr(ab, a, C); // tr(q%mod, r%mod, s%mod); out.println(ans); } public static int gcd(int a, int b) { while (b > 0) { int c = a; a = b; b = c % b; } return a; } int mod = 1000000007; long dfsab(long H, long W) { if(H == 0 || W == 0)return 0; long code = H<<32|W; if(cache.containsKey(code))return cache.get(code); if(H == 1) { return s1(W, mod); } if(W == 1) { return s1(H, mod); } int S = (int)Math.sqrt(Math.max(H, W)); long all = s1(H, mod) * s1(W, mod) % mod; for(int i = 2;i <= S;i++) { all -= (long)i*i*dfsab(H/i, W/i); all %= mod; } for(long x = Math.min(H, W), d = H/x, e = W/x;;) { // H/x = d, W/x = e long ned = H/(d+1); long nee = W/(e+1); long R = Math.max(ned, nee); R = Math.max(R, S); // (R, x] if(R > x)break; all -= dfsab(d, e) * (s2(x, mod) - s2(R, mod)); // tr(R, x, d, e); all %= mod; if(R == S)break; x = R; if(ned > nee) { d++; }else { e++; } } if(all < 0)all += mod; cache.put(code, all); return all; } long dfsa(long H, long W) { if(H == 0 || W == 0)return 0; long code = H<<32|W; if(cache.containsKey(code))return cache.get(code); if(H == 1) { return W; } if(W == 1) { return s1(H, mod); } int S = (int)Math.sqrt(Math.max(H, W)); long all = s1(H, mod) * W % mod; for(int i = 2;i <= S;i++) { all -= (long)i*dfsa(H/i, W/i); all %= mod; } for(long x = Math.min(H, W), d = H/x, e = W/x;;) { // H/x = d, W/x = e long ned = H/(d+1); long nee = W/(e+1); long R = Math.max(ned, nee); R = Math.max(R, S); if(R > x)break; // (R, x] all -= dfsa(d, e) * (s1(x, mod) - s1(R, mod)); all %= mod; if(R == S)break; x = R; if(ned > nee) { d++; }else { e++; } } if(all < 0)all += mod; cache.put(code, all); return all; } long dfs(long H, long W) { if(H == 0 || W == 0)return 0; long code = H<<32|W; if(cache.containsKey(code))return cache.get(code); if(H == 1) { return W; } if(W == 1) { return H; } int S = (int)Math.sqrt(Math.max(H, W)); long all = H * W % mod; for(int i = 2;i <= S;i++) { all -= (long)dfs(H/i, W/i); all %= mod; } for(long x = Math.min(H, W), d = H/x, e = W/x;;) { // H/x = d, W/x = e long ned = H/(d+1); long nee = W/(e+1); long R = Math.max(ned, nee); R = Math.max(R, S); if(R > x)break; // (R, x] // tr(R, x, d, e); all -= dfs(d, e) * (x-R); all %= mod; if(R == S)break; x = R; if(ned > nee) { d++; }else { e++; } } if(all < 0)all += mod; cache.put(code, all); return all; } public static long s2(long n, int mod) { long a = n, b = n+1, c = 2*n+1; if(a % 2 == 0){ a /= 2; }else{ b /= 2; } if(a % 3 == 0){ a /= 3; }else if(b % 3 == 0){ b /= 3; }else{ c /= 3; } return (a%mod)*(b%mod)%mod*(c%mod)%mod; } Map cache; public static long s1(long n, int mod) { if(n % 2 == 0){ return (n/2%mod)*((n+1)%mod)%mod; }else{ return (n%mod)*((n+1)/2%mod)%mod; } } void run() throws Exception { is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new PrintWriter(System.out); long s = System.currentTimeMillis(); solve(); out.flush(); if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){ // @Override // public void run() { // long s = System.currentTimeMillis(); // solve(); // out.flush(); // if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // } // }; // t.start(); // t.join(); } public static void main(String[] args) throws Exception { new E().run(); } private byte[] inbuf = new byte[1024]; public int lenbuf = 0, ptrbuf = 0; private int readByte() { if(lenbuf == -1)throw new InputMismatchException(); if(ptrbuf >= lenbuf){ ptrbuf = 0; try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); } if(lenbuf <= 0)return -1; } return inbuf[ptrbuf++]; } private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private double nd() { return Double.parseDouble(ns()); } private char nc() { return (char)skip(); } private String ns() { int b = skip(); StringBuilder sb = new StringBuilder(); while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ') sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } private char[] ns(int n) { char[] buf = new char[n]; int b = skip(), p = 0; while(p < n && !(isSpaceChar(b))){ buf[p++] = (char)b; b = readByte(); } return n == p ? buf : Arrays.copyOf(buf, p); } private int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private long[] nal(int n) { long[] a = new long[n]; for(int i = 0;i < n;i++)a[i] = nl(); return a; } private char[][] nm(int n, int m) { char[][] map = new char[n][]; for(int i = 0;i < n;i++)map[i] = ns(m); return map; } private int[][] nmi(int n, int m) { int[][] map = new int[n][]; for(int i = 0;i < n;i++)map[i] = na(m); return map; } private int ni() { return (int)nl(); } private long nl() { long num = 0; int b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); } }