# The Smallest Square

## Work Time

# The Smallest Square

Think about the smallest square you made using the 4 x 6 rectangles.

- How many rectangles high is the square?
- How many rectangles wide is the square?
- Why did you use more rectangles in one direction than in the other direction?
- How long is one side of the square?
- How do you know that the square is the smallest square you can make?
- The side lengths of all of the squares are the common multiples of 4 and 6. The side length of the smallest square is the
*least common multiple*(LCM) of 4 and 6. Why would you build squares rather than rectangles to find the least common multiple?

INTERACTIVE: Build Squares with Rectangles