24. What is least common multiple of 2,3,4,5,6, and 7?

This is what I did: 2x3x2x5x2x3x7=2520

2=2^1

3=3^1
4=2^2
5=5^1
6=2*3
7=7^1

The least common multiple must have factors that satisfy all of the above:
2^2*3*5*7=420