Question

xavier has pieces of construction paper that are 6 centimeters long and 4 centimeters wide. for an art project, he wants to create the smallest possible square, without cutting or overlapping any of the paper. how long will each side of the square be?

Explanation:

Step1: List prime factors of 6

$6 = 2 \times 3$

Step2: List prime factors of 4

$4 = 2 \times 2$

Step3: Find LCM of 6 and 4

Take highest powers of all primes: $2^2 \times 3 = 4 \times 3$

Answer:

12 centimeters