
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
If the least common multiple of the numbers \(a\) and \(b\) is denoted by \([a, b]\), then there exists a formula:

\[ [a, b] = \frac{ab}{(a, b)} \]

**Corollary:** If \((a, b) = 1\), then \([a, b] = ab\), meaning the least common multiple of two relatively prime numbers is equal to the product of these numbers.

Present the answer in LaTex format: \boxed{Your answer}
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