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Home » The LCM is found by taking the highest power of all prime factors: - Crankk.io

The LCM is found by taking the highest power of all prime factors: - Crankk.io

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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Possible values for \(a^2\) are \(0, 1, 4, 9, 16, 25\). We check each:
\(a^2 = 0\), \(b^2 = 25\) gives \((a, b) = (0, \pm 5)\)
\(a^2 = 1\), \(b^2 = 24\) is not possible
\(a^2 = 4\), \(b^2 = 21\) is not possible
\(a^2 = 9\), \(b^2 = 16\) gives \((a, b) = (\pm 3, \pm 4)\)
\(a^2 = 16\), \(b^2 = 9\) gives \((a, b) = (\pm 4, \pm 3)\)
\(a^2 = 25\), \(b^2 = 0\) gives \((a, b) = (\pm 5, 0)\)
Counting all combinations for \((a, b)\):
\((0, \pm 5)\) gives 2 points: \((3, 9), (3, -1)\)
\((\pm 4, \pm 3)\) gives 8 points: \((7, 7), (7, 1), (-1, 7), (-1, 1),...

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