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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 $oxed{3}$. 📰 Breaking News Top Nude Models Just Steps Awaycatch The Controversy Today 6336399 📰 Never Pay More Than 5 For Nyc Transitheres How To Grab Your Tickets Instantly 6872268 📰 Games For Laptops Free 9829623 📰 Pictures Are Missing On Your Iphone Move Them To Pc Save The Day Now 5763251 📰 Rock In Spanish 3927301 📰 Sugoi Secret That Broke Me Professionallysecure Your Future Before Its Too Late 6061537 📰 Click Fast Ultimate Guide To Securing Your Windows With Ssl Certificate Store 5009051 📰 H Currency Devaluation Through Martian Dollar Printing 3963747 📰 Unlock The Secrets Of Physical Development From Kids To Adults 5366371 📰 Play Roblox Browser 4808860 📰 Types Of Vaccine Shots 5106477 📰 X Men Cartoon Exposed The Shocking Truth The Fanbase Has Been Waiting For 9965667 📰 You Wont Believe These Simple Steps To Invest In Ethereum Like A Pro 8672786 📰 Midtown Hotel 9764490 📰 Quail Ridge 5853908