diff --git a/LCS.cpp b/LCS.cpp
new file mode 100644
index 0000000..7863d61
--- /dev/null
+++ b/LCS.cpp
@@ -0,0 +1,75 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+#define PI 3.1415926535897932384626
+#define ll long long
+#define lli long long int
+#define fo(i,a,n) for(int i=a;i<n;i++)
+#define pr(i,arr) for(auto i:arr)
+
+typedef vector<int> vi;
+typedef vector<ll> vl;
+typedef map<ll,ll> ml;
+typedef map<int,int> mi;
+
+void file_i_p()
+{
+    ios_base::sync_with_stdio(false);
+    cin.tie(NULL);
+
+    #ifndef ONLINE_JUDGE
+    freopen("input.txt","r",stdin);
+    freopen("output.txt","w",stdout);
+    #endif
+}
+
+ll fact(ll n) {
+    ll res = 1;
+    for(ll i=2;i<=n;i++) {
+        res*=i;
+    }
+    return res;
+}
+
+ll _lcm(ll x,ll y) {
+    return x*y/__gcd(x,y);
+}
+
+ll _gcd(ll a,ll b) {
+    return a%b==0 ? b : _gcd(b,a%b);
+}
+
+int findLcs(string a,string b,int m,int n)
+{
+    if(m==0 || n==0)
+    {
+        return 0;
+    }
+    if(a[m-1] == b[n-1])
+    {
+        return 1+findLcs(a,b,m-1,n-1);
+    }
+    else
+    {
+        return max(findLcs(a,b,m,n-1),findLcs(a,b,m-1,n));
+    }
+    
+}
+
+void solve()
+{
+    string a = "AGGTAB";
+    string b = "GXTXAYB";
+
+    cout<<findLcs(a,b,a.length(),b.length());
+
+}
+
+int main() {
+    
+    file_i_p();
+
+    solve();
+
+    return 0;
+}