The shortest height at which the two stacks will be same is 72 inches.
Step-by-step explanation:
Given,
Boxes that are 18 inches tall are being stacked next to boxes that are 24 inches tall.
It means that we will find least common factor of both the boxes;
18 = 2*3*3
24 = 2*2*2*3
LCM = 2*2*2*3*3 = 72
The least common multiple of 18 and 24 is 72, therefore,
The shortest height at which the two stacks will be same is 72 inches.
Keywords: LCM, multiplication
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