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Home » Thus, all 30 factor pairs produce valid lattice points. - Crankk.io

Thus, all 30 factor pairs produce valid lattice points. - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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\text{lcm}(7, 8, 9) = \text{lcm}(7, \text{lcm}(8, 9)) = \text{lcm}(7,...
So $ x + 3 = 504k $ for some integer $ k $.
We want $ x $ to be a two-digit number, so:
x = 504k - 3
Try $ k = 1 $:
x = 504(1) - 3 = 501 \quad \text{(too large)}
Try $ k = 0 $:
x = 504(0) - 3 = -3 \quad \text{(not positive)}
There are no valid two-digit values for $ x $ from $ k = 0 $ or $ k =...
Since $ 504 $ is already too large, no smaller positive multiple exist...

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