diff --git a/CPP/Basics/LCM_finder.cpp b/CPP/Basics/LCM_finder.cpp
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+//C++ program to find the LCM using the HCF of the numbers
+//This algorithm finds LCM of two numbers in logarithmic time complexity
+#include <bits/stdc++.h>
+using namespace std;
+// Function to compute the HCF, to further use in finding the LCM
+
+int Find_HCF(int a, int b){
+    while(a>0 && b>0){
+        // If a > b then a%b
+        if(a>b){
+            a = a%b;
+        }
+        // Else b%a
+        else{
+            b = b%a;
+        }
+    }
+    // When the loop exhausts, the non zero number will be the HCF
+    if(a==0){
+        return b;
+    }
+    else{
+        return a;
+    }
+}
+int Find_LCM(int a, int b){
+    //Using the formula lcm=a*b/hcf(a,b),
+    return a*b/Find_HCF(a,b);
+}
+
+int main(){
+    // Input two numbers
+    int a,b;
+    cin >> a >> b;
+    // Calling Find_LCM function to find the LCM,
+    cout << Find_LCM(a,b) ;
+}
+
+
+//Time Complexity = O(log(min(a,b)))
+//Space Complexity = O(1)
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