Find LCM of 18 and 27

• A. 44
• B. 54
• C. 34
• D. 24

To find the Least Common Multiple (LCM) of 18 and 27, we can use the prime factorization method.

Step 1: Prime Factorization

First, we break down each number into its prime factors:

• 18 = 2 × 3²
• 27 = 3³

Step 2: Identify the Highest Powers

Next, we take the highest power of each prime factor:

• For 2: the highest power is 2¹ (from 18)
• For 3: the highest power is 3³ (from 27)

Step 3: Calculate the LCM

Now, we multiply these together to find the LCM:

LCM = 2¹ × 3³ = 2 × 27 = 54

Final Answer

The LCM of 18 and 27 is 54, so the correct option is B. 54.