
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 class of 30 students is discussing a large positive integer. Each student claims that the integer can be divided by the number they say, starting from 1 up to 30. If exactly two students were incorrect and they said consecutive numbers, what was the least possible integer they were discussing, given that the consecutive incorrect numbers are below 25?

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