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Home » The Hottest Runners-Down: How the Belgian Blue Cow Is Outperforming Cows Everywhere! - Imagemakers

The Hottest Runners-Down: How the Belgian Blue Cow Is Outperforming Cows Everywhere! - Imagemakers

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 #### 301.59**Question:

📌 A micropaleontologist is cataloging microfossil samples and wants to store them in boxes. Each box can hold samples in quantities that are multiples of 12 or 18. What is the least common multiple of the quantities that the boxes can hold?

📌 To find the least common multiple (LCM) of 12 and 18, we first determine their prime factorizations:

📌 \( 12 = 2^2 \times 3^1 \)

📌 \( 18 = 2^1 \times 3^2 \)

📌 The LCM is found by taking the highest power of each prime that appears in the factorizations:

📌 Highest power of 2: \( 2^2 \)

📌 Highest power of 3: \( 3^2 \)

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