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Home » A square garden has a perimeter of 48 meters. What is the area of the garden? - American Beagle Club

A square garden has a perimeter of 48 meters. What is the area of the garden? - American Beagle Club

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Eventually, only solutions are $(\pm12, 0)$.

📌 Thus, exactly 2 lattice points.

📌 Question: A high-performance computing simulation requires a grid size that is divisible by the least common multiple of all integers from 1 to 12. What is the smallest such grid size greater than 1 million?

📌 Solution: We seek the smallest multiple of $\mathrm{lcm}(1,2,\dots,12)$ greater than 1,000,000.

📌 Factor each number from 1 to 12:

📌 $2^3$ (from 8),

📌 $3^2$ (from 9),

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