diff --git a/math/number_theory/Lcm.java b/math/number_theory/Lcm.java
new file mode 100644
index 0000000..da1670c
--- /dev/null
+++ b/math/number_theory/Lcm.java
@@ -0,0 +1,19 @@
+import java.io.*; 
+import java.util.*; 
+
+class Lcm{ 
+	static int gcd(int x, int y){
+        if (x == 0) return y; 
+        return gcd(y % x, x); 
+    }
+     
+    static int lcm(int x, int y){
+        return (x / gcd(x, y)) * y;
+    }
+     
+    public static void main(String[] args){
+        int x = 15, y = 20;
+        System.out.println("LCM of " + x + " and " + y + " is " + lcm(x, y));
+    }
+} 
+