Find the LCM: Calculating Least Common Multiple of 10 and 15

Question

What is the least common multiple of these two numbers?

10   15 \boxed{10}~~~\boxed{15}

Step-by-Step Solution

To find the least common multiple (LCM) of 10 10 and 15 15 , we list the multiples of each number:

  • Multiples of 10 10 are 10,20,30,40, 10, 20, 30, 40, \ldots
  • Multiples of 15 15 are 15,30,45, 15, 30, 45, \ldots

The smallest common multiple is 30 30 .

Answer

30