Craft the LCM using multiplication and GCD extraction!
The LCM (Least Common Multiple) is the smallest number that both A and B divide into evenly.
Key insight: A × B contains all factors of both numbers, but counts common factors twice. Dividing by GCD removes the double-counted factors!
Example: For 12 and 18:
• 12 = 2² × 3
• 18 = 2 × 3²
• LCM = 2² × 3² = 36 (take max power of each prime)