The least common multiple of any two numbers is the first number they both have in common. A multiple of any number means the number is self-adding, or creating multiples.
With this information, lets get ready to solve.
We'll do the first 5 of each number.
6 = 6, 12, 18, 24, 30.
10 = 10, 20, 30, 40, 50.
They both have 30 in common first, so 30 is the least common multiple.