Lowest Common Multiple of Integers/Examples/3, 9, 11
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Example of Lowest Common Multiple of Integers
The lowest common multiple of $3$, $9$ and $11$ is:
- $\lcm \set {3, 9, 11} = 99$
Proof
\(\ds \lcm \set {3, 9}\) | \(=\) | \(\ds 9\) | as $3 \divides 9$ | |||||||||||
\(\ds \lcm \set {9, 11}\) | \(=\) | \(\ds 99\) | as $9 \perp 11$ |
Hence the result.
$\blacksquare$
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): common multiple
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): common multiple