LCM of 25 and 5
Understand the Problem
The question is asking for the least common multiple (LCM) of the numbers 25 and 5. To find the LCM, we will identify the multiples of both numbers and select the smallest one that is common to both.
Answer
The least common multiple (LCM) of 25 and 5 is $25$.
Answer for screen readers
The least common multiple (LCM) of 25 and 5 is 25.
Steps to Solve
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List the multiples of each number
To find the LCM, start by listing the first few multiples of the numbers 25 and 5.
Multiples of 25: 25, 50, 75, 100, 125, ...
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ... -
Identify the common multiples
Next, identify the multiples that are common to both lists.
From the lists above, the common multiples are: 25, 50, 75, 100, 125, ... -
Select the least common multiple
Finally, choose the smallest number from the common multiples identified.
The smallest common multiple is 25.
The least common multiple (LCM) of 25 and 5 is 25.
More Information
The LCM of two numbers is the smallest multiple that is evenly divisible by both numbers. In this case, since 25 is a multiple of 5, the LCM is simply 25 itself.
Tips
- Confusing the LCM with the greatest common divisor (GCD). Ensure you're looking for the smallest common multiple rather than the largest.
- Listing too many multiples unnecessarily. Aim for a smaller list to find commonalities more efficiently.
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