least common multiple of 14 and 28
Understand the Problem
The question is asking for the least common multiple (LCM) of the numbers 14 and 28. To find the LCM, we identify the multiples of both numbers and determine the smallest multiple that they share.
Answer
$28$
Answer for screen readers
The least common multiple of 14 and 28 is $28$.
Steps to Solve
- Identify the multiples of each number
First, we list several multiples of 14 and 28.
For 14:
- $14 \times 1 = 14$
- $14 \times 2 = 28$
- $14 \times 3 = 42$
- $14 \times 4 = 56$
- $14 \times 5 = 70$
The multiples of 14 are: 14, 28, 42, 56, 70.
For 28:
- $28 \times 1 = 28$
- $28 \times 2 = 56$
- $28 \times 3 = 84$
- $28 \times 4 = 112$
- $28 \times 5 = 140$
The multiples of 28 are: 28, 56, 84, 112, 140.
- Find the common multiples
Next, we find the common multiples from both lists:
- Common multiples: 28, 56, ...
- Identify the least common multiple
The least common multiple (LCM) is the smallest number that appears in both lists. From our common multiples, we see that:
- $28$ is the smallest common multiple.
Thus, the least common multiple of 14 and 28 is 28.
The least common multiple of 14 and 28 is $28$.
More Information
The least common multiple (LCM) helps in finding a common value that can be used in addition, subtraction, or finding fractions with different denominators. In this case, the LCM of 14 and 28, which is 28, could be useful in various mathematical applications, such as finding common denominators.
Tips
- A common mistake is not listing enough multiples or misunderstanding the definition of multiples. To avoid this, make sure to list enough multiples to identify all common ones.
