
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
Calculate the product of the least common multiple (LCM) of 12 and 18 and the greatest common divisor (GCD) of 12 and 18. After finding this product, verify if it matches the product of the original numbers, 12 and 18.

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