8-inch boxes are stacked next to 6-inch boxes. What is the lowest height at which the two stacks will be the same height?

The lowest height at which the two stacks will be the same height is 24 inches.

Step-by-step explanation:

For answering this problem, we have to find out the lowest common multiple of 6 and 8, listing its prime factors, this way:

6 = 3 * 2

8 = 2 * 2 * 2

Now, we multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

Therefore, we have:

2 : 3 times as prime factor of 8

3: 1 time as prime factor of 6

The lowest common multiple is:

2 * 2 * 2 * 3 = 24

The lowest height at which the two stacks will be the same height is 24 inches.