
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
The least common multiple (lcm) of $a$ and $b$ is $24$, and the least common multiple of $b$ and $c$ is $18$. What is the least possible value of the least common multiple of $a$ and $c$?
A) 12
B) 24
C) 36
D) 48
E) 72

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