I need someone's help

[tracemunz]

Guess the number...I am the LCM of two numbers whose sum is thirty and whose difference is six. What number am I? I don't have the slightest idea how to do this. Please help!

 

[Matt]

Let A be the first number.
Let B be the second number.

Then:

A + B = 30
A - B = 6

Solve the system, then find the LCM of A and B.