lcm of 22 and 4
Understand the Problem
The question is asking for the least common multiple (LCM) of the numbers 22 and 4. To solve this, we will identify the multiples of both numbers and determine the smallest one that appears in both sets.
Answer
The least common multiple of 22 and 4 is $44$.
Answer for screen readers
The least common multiple of 22 and 4 is $44$.
Steps to Solve
-
Identify the multiples of each number
First, we will find the multiples of 22 and 4.
Multiples of 22:
$$ 22, 44, 66, 88, 110, ... $$
Multiples of 4:
$$ 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, ... $$ -
Find the common multiples
Next, we need to identify the numbers that appear in both lists of multiples.
From the multiples we wrote, we can see that the common multiples are:
$$ 44, 88, ... $$ -
Identify the least common multiple
The least common multiple (LCM) is the smallest number that is common to both lists of multiples.
From our previous step, the smallest is:
$$ LCM(22, 4) = 44 $$
The least common multiple of 22 and 4 is $44$.
More Information
The least common multiple (LCM) of two numbers is the smallest positive integer that is a multiple of both. It can be useful for finding common denominators in fractions or solving problems involving equal intervals.
Tips
- Not listing enough multiples: Sometimes, finding just a few multiples is not enough. Make sure to generate a sufficient amount to guarantee the correct LCM.
- Forgetting to check for the smallest: It's crucial to identify the least of the common multiples, not just any common multiple.
