lcm of 8 and 36
Understand the Problem
The question is asking for the least common multiple (LCM) of the numbers 8 and 36. To solve this, we will find the multiples of both numbers and identify the smallest multiple they share.
Answer
$72$
Answer for screen readers
The least common multiple (LCM) of 8 and 36 is $72$.
Steps to Solve
- List Multiples of Each Number
First, we will list the multiples of 8 and 36.
Multiples of 8:
8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, ...
Multiples of 36:
36, 72, 108, 144, 180, ...
- Identify Common Multiples
Next, we will look for the common multiples in the lists we created.
From the multiples listed:
Common multiples: 72, ...
- Determine the Least Common Multiple
The smallest common multiple from the list is our least common multiple.
Thus, the least common multiple of 8 and 36 is:
$$ LCM(8, 36) = 72 $$
The least common multiple (LCM) of 8 and 36 is $72$.
More Information
The least common multiple is the smallest number that is a multiple of both numbers. Finding the LCM can be useful in various applications, such as adding fractions with different denominators.
Tips
- Forgetting to list enough multiples to find the common one.
To avoid this, make sure you list enough multiples of both numbers until you find a common one.
