
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
In the set of positive integers from 1 to \( n \), the numbers that have the most divisors are called the "wang numbers" of these \( n \) positive integers. For example, in the set of positive integers from 1 to 20, the numbers with the most divisors are 12, 18, and 20. Therefore, 12, 18, and 20 are all wang numbers in the set of positive integers from 1 to 20. Find the least common multiple of all the wang numbers in the set of positive integers from 1 to 100.

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