LCM of 5 and 13
Understand the Problem
The question is asking for the least common multiple (LCM) of the numbers 5 and 13. To find the LCM, we can identify the smallest number that both 5 and 13 divide evenly into.
Answer
The LCM of 5 and 13 is $65$.
Answer for screen readers
The least common multiple (LCM) of 5 and 13 is $65$.
Steps to Solve
- Identify the given numbers
The given numbers for which we need to find the least common multiple (LCM) are 5 and 13.
- Find the multiples of each number
Next, we will list some multiples of both numbers.
- Multiples of 5: $5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, ...$
- Multiples of 13: $13, 26, 39, 52, 65, 78, 91, 104, 117, 130, ...$
- Determine the smallest common multiple
Now, we need to look for the smallest number that appears in both lists of multiples.
Upon inspection, the smallest common multiple of both lists is $65$.
- Conclusion
Thus, the least common multiple (LCM) of 5 and 13 is $65$.
The least common multiple (LCM) of 5 and 13 is $65$.
More Information
The least common multiple is the smallest multiple that two or more numbers share. Since both 5 and 13 are prime numbers, their LCM is simply their product, which also confirms our result: $5 \times 13 = 65$.
Tips
Common mistakes include:
- Confusing LCM with GCD (Greatest Common Divisor), which is a different concept.
- Not identifying the correct multiples or listing too few to find the LCM accurately.
