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Recall the division ordering on \(\mathbb{N}\) from Example 1.29: we say that \(n \le m\) if \(n\) divides perfectly into \(m\) What is the meet of two numbers in this poset? What about the join?
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The join is the least common multiple, and the meet is the greatest common divisor.
The join is the least common multiple, and the meet is the greatest common divisor.