What is the least common multiple of 4 and 5?

Get ready for the NWEA Math 5th Grade Test with focused flashcards and multiple choice questions. Enhance your skills with hints and explanations. Excel on exam day!

To find the least common multiple (LCM) of two numbers, you need to determine the smallest number that both numbers can divide evenly. In this case, the two numbers are 4 and 5.

First, let's consider the multiples of each number:

  • The multiples of 4 are: 4, 8, 12, 16, 20, 24, ...

  • The multiples of 5 are: 5, 10, 15, 20, 25, ...

Next, we look for the smallest multiple that appears in both lists. From the lists, 20 is the first number that both 4 and 5 can divide evenly.

You can also directly calculate the LCM by using the formula involving the greatest common divisor (GCD). Since 4 and 5 are both prime to each other (they share no common factors other than 1), you can find the LCM by multiplying the two numbers together and then dividing by their GCD:

  • The GCD of 4 and 5 is 1.

  • Therefore, LCM = (4 × 5) / GCD = 20 / 1 = 20.

Thus, the least common multiple of

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy