Least Common Multiple Sudoku

The clues in the following Sudoku reveal the least common multiple of the four adjacent entries.  For anyone who hasn't thought about the LCM of multiple integers recently, this is one of those definitions that's nicely contained inside the name.  From the words "common multiple" we know it's a multiple of all the numbers, and from the word "least" we know that it's the smallest possible one.  You've taken least common multiples before if you've ever learned to add fractions, so don't be afraid to give it a try.

Link to High Quality PDF for Printing.