Lowest Common Multiple of Integers/Examples/3, 9, 11

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