Find the LCM: Calculating Least Common Multiple of 5 and 10

Question

What is the least common multiple of these two numbers?

5   10 \boxed{5}~~~\boxed{10}

Step-by-Step Solution

To find the least common multiple (LCM) of 5 5 and 10 10 , we list the multiples of each number:

  • Multiples of 5 5 are 5,10,15,20, 5, 10, 15, 20, \ldots
  • Multiples of 10 10 are 10,20,30, 10, 20, 30, \ldots

The smallest common multiple is 10 10 .

Answer

10