Find the LCM: Calculating Least Common Multiple of 6 and 9

Question

What is the least common multiple of these two numbers?

6   9 \boxed{6}~~~\boxed{9}

Step-by-Step Solution

To find the least common multiple (LCM) of 6 6 and 9 9 , we list the multiples of each number:

  • Multiples of 6 6 are 6,12,18,24, 6, 12, 18, 24, \ldots
  • Multiples of 9 9 are 9,18,27, 9, 18, 27, \ldots

The smallest common multiple is 18 18 .

Answer

18