
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
Xiaofang calculates the least common multiple (LCM) of two two-digit numbers $\overline{AB}$ and $\overline{CD}$. Xiaoyuan calculates the LCM of two two-digit numbers $\overline{BA}$ and $\overline{DC}$. It is known that the result Xiaofang gets is 1.75 times that of Xiaoyuan. Find the LCM that Xiaofang calculates.

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