
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
A group of 30 friends were discussing a large positive integer. Starting from 1 up to 30, each friend stated that the integer could be divided by the respective number. If exactly two friends were incorrect, and those two friends said consecutive numbers, what was the least possible integer they were discussing?

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