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Discover How WordMint Boosts Your SEO—Click to See the Secret! - inBeat

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 To find the smallest four-digit number divisible by both 7 and 13, we first find their least common multiple (LCM).

📌 Since 7 and 13 are coprime, their LCM is:

📌 Now, we find the smallest four-digit number divisible by 91. The smallest four-digit number is 1000. We calculate:

📌 Thus, the smallest four-digit number divisible by 91 is:

📌 Thus, there are 18 such integer solutions.

📌 This is an arithmetic sequence with first term 1001, last term 1009, 5 terms.

📌 Alternatively, reduce each term mod 13:

📌 Solution: The shortest distance from a point $(x_0, y_0)$ to a line defined by $Ax + By + C = 0$ is given by the formula:

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