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📰 Solution: To find when both projects synchronize, compute the least common multiple (LCM) of 10 and 15. Factorize: $10 = 2 \times 5$ and $15 = 3 \times 5$. The LCM is $2 \times 3 \times 5 = 30$. Thus, the projects will align after $\boxed{30}$ months. 📰 Question: A palynologist observes two pollen dispersal patterns repeating every 9 and 12 days. What is the smallest day number when both patterns coincide? 📰 Solution: The smallest day both patterns coincide is the LCM of 9 and 12. Factorize: $9 = 3^2$ and $12 = 2^2 \times 3$. The LCM is $2^2 \times 3^2 = 36$. The patterns coincide on day $\boxed{36}$. 📰 Total Area Including The Path 400 Square Meters 7709989 📰 Why Is Microsoft Down Today 5412250 📰 Cred One Credit Card Login Hack Log In Faster And Track Every Switch 1169529 📰 Bank Of America Stratford Rd 186850 📰 Go Diego Go 5072724 📰 Best Cash Out Refinance Lenders 4374101 📰 Actors In Guess Whos Coming To Dinner 4920700 📰 Kimberly And Clark Stock Explosion Is This The Next Top Breaking Stock 9087591 📰 Costly Breakdown Fidelity Walnut Creek Puts Local Savings To The Ultimate Test 7870990 📰 A Loan Of 10000 Is Taken At An Annual Interest Rate Of 6 Compounded Annually What Is The Total Amount Owed After 4 Years 3985537 📰 Is This The Most Addictive Game Feature Youve Never Heard Of Gamesg Says Yes 1980082 📰 Epic Games Us 5641116 📰 The Cooking Game Thats Taking The Worldfree Now Absolutely Addictive 9563426 📰 From Kaiju To Cult Legacy The Complete All Godzilla Movies You Need To Watch Most Dangerous Ever 2131346 📰 Unwrap The Look Everyones Claiming Is The Ultimate Comfort In Christmas Sweaters 4890415