Concept:
Convert letters into their alphabetical positions and relate them to the numbers.
Step 1: Analyze LXM.
\[
L = 12,\quad X = 24,\quad M = 13
\]
Given result:
\[
12 \times 13
\]
So pattern: first letter × third letter (positions).
Step 2: Apply same to UXW.
\[
U = 21,\quad X = 24,\quad W = 23
\]
So,
\[
21 \times 23
\]
Hence, the correct answer is \(21 \times 23\).