What is the LCM of 27 and 33?

The LCM (Least Common Multiple) of 27 and 33 is 297.

To find the LCM, we can start by identifying the prime factorization of each number:

• 27 = 3 × 3 × 3 = 3³
• 33 = 3 × 11 = 3¹ × 11¹

Next, we take the highest power of each prime that appears in the factorizations:

• For the prime number 3, the highest power is 3³ (from 27).
• For the prime number 11, the highest power is 11¹ (from 33).

Now, we multiply these together to find the LCM:

LCM = 3³ × 11¹ = 27 × 11 = 297.

Therefore, the least common multiple of 27 and 33 is 297.