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Armie Hammer can't afford his truck after cannibalism scandal

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Armie Hammer can't afford his truck after cannibalism scandal
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A circle is inscribed in a square. If the squares side is 10 cm, what is the circles area?
A pyramid has a square base with side 6 meters and a height of 9 meters. What is its volume?
A car travels 120 miles at 40 mph and then another 180 miles at 60 mph. What is the total time taken?

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📰 Therefore, the smallest number of full rotations for alignment is $oxed{3}$ rotations for the 24-tooth gear and $oxed{2}$ for the 36-tooth gear, but the alignment occurs at $oxed{72}$ total teeth moved, so the minimal number of full rotations of the *first gear* required is $oxed{3}$. However, the question asks for the smallest number of full rotations each must make to align—this is interpreted as the LCM of their rotation cycles. Since one full rotation of the 24-tooth gear moves 24 teeth, and 72 is the LCM, the first gear rotates $72/24 = oxed{3}$ times, the second $72/36 = oxed{2}$. But the smallest number of full rotations each must make to realign is the LCM cycle completed, so the answer is the LCM of the number of rotations: $3$ rotations for the 24-tooth gear and $2$ for the other. But to match the format—single answer—we interpret as: 📰 The smallest number of full rotations of the **24-tooth gear** required for alignment (so that both complete an integer number of cycles) is $oxed{3}$. 📰 Thus, the final answer is $oxed{3}$.