## Challenge 311: Large LCMs

We define L(n) to be the lowest common multiple of the integers 1, 2, 3, …n.

For example, L(5) = 60, because this is the smallest integer divisible by all of 1, 2, 3, 4 and 5.

- Find two values of n for which L(n) = L(n + 1)
- What is the smallest value of n for which L(n) = L (n + 3)? Justify your answer.