The LCM of 54 and 72 is 216. There are different methods to find the LCM of two numbers, including prime factorization, listing multiples, and division method. Here are the steps to find the LCM of 54 and 72 using prime factorization:

• Express the numbers as the product of their prime factors: 54 = 2 × 3 × 3 × 3 and 72 = 2 × 2 × 2 × 3 × 3.
• Identify the common prime factors and write them down with their highest power: 2³ × 3³.
• Multiply the common prime factors: 2³ × 3³ = 216.

Therefore, the LCM of 54 and 72 is 216.