What is the least common multiple of 5 and 25?
Understand the Problem
The question is asking for the least common multiple (LCM) of the numbers 5 and 25. To find the LCM, we look for the smallest positive integer that is divisible by both numbers.
Answer
$25$
Answer for screen readers
The least common multiple (LCM) of 5 and 25 is $25$.
Steps to Solve
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Identify the numbers
The two numbers we need the least common multiple of are 5 and 25. -
List the multiples
Let's list the multiples of each number:- Multiples of 5: 5, 10, 15, 20, 25, 30, 35, ...
- Multiples of 25: 25, 50, 75, 100, ...
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Find the least common multiple
Now, we look for the smallest number that appears in both lists of multiples.
From the multiples:
- The first common multiple is 25.
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Conclusion
Thus, the least common multiple (LCM) of 5 and 25 is 25.
The least common multiple (LCM) of 5 and 25 is $25$.
More Information
The LCM is useful in various mathematical applications, including adding fractions with different denominators. It is important as it helps find a common basis for calculations.
Tips
One common mistake is assuming the LCM is always the product of the two numbers. While this is true for prime numbers, it is not necessarily the case for other numbers (like 5 and 25).
