How to Find the LCM of 8 & 12 Video

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  • 0:03 Steps for Finding the LCM
  • 0:16 Least Common Multiple…
  • 1:02 Uses for Least Common…
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Lesson Transcript
Instructor: Mia Primas

Mia has taught math and science and has a Master's Degree in Secondary Teaching.

In this lesson, you'll learn the steps for identifying the least common multiple of two numbers and then apply that knowledge to find the least common multiple of 8 and 12.

Steps for Finding the LCM

There are two steps to find the least common multiple of two numbers:

  • Step 1: List the multiples of each number.
  • Step 2: Look for the first multiple that they have in common. This is the least common multiple.

Least Common Multiple of 8 and 12

Let's apply these steps to find the least common multiple of 8 and 12:

Step 1: List the Multiples of Each Number

To find the multiples of a number, find the product of the number and each consecutive whole number, beginning with 1. The first few multiples of 8 are: 8, 16, 24, 32, 40, and 48. The first multiples of 12 are: 12, 24, 36, 48, 60, and 72.

Multiples of 8 Multiples of 12
8 x 1 = 8 12 x 1 = 12
8 x 2 = 16 12 x 2 = 24
8 x 3 = 24 12 x 3 = 36
8 x 4 = 32 12 x 4 = 48
8 x 5 = 40 12 x 5 = 60
8 x 6 = 48 12 x 6 = 72

Step 2: Look for the First Multiple that They Have in Common

The first multiple that 8 and 12 have in common is 24. Notice that 48 is also a common multiple; however, 24 is the smallest number that they have in common. This makes it the least common multiple.

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