
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 are discussing a large positive integer. "It can be divided by 1," said the first friend. "It can be divided by 2," said the second friend. "And by 3," said the third friend. "And by 4," added the fourth friend. This continued until they reached the statement about 30 by the last friend. Two friends, saying consecutive numbers, are incorrect about the divisibility of the number. What is the least possible integer they could be discussing if the incorrect numbers are somewhere between 18 and 25?

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