150 LearnersLast updated on May 26th, 2025
LCM of 9 and 13
The LCM, meaning least common factor of 9 and 13 is the lowest number that is divisible by both 9 and 13. It is the least number that 9 and 13 can divide evenly. LCM is widely used in a variety of fields such as coordination in traffic lights.
What is the LCM of 9 and 13
The LCM of 9 and 13 is 117. This is the smallest multiple obtained by 9 and 13. We can find the LCM of 9 and 13 in various methods.
LCM of 9 and 13 using the listing method.
Steps to follow in the listing method:
To find the divisors of two numbers.
3 × 3 is the Factor of 9
Factors of 13 equals to 13 as it is a prime number.
Take the greater powers of all the factors and multiply each other to find the LCM:
LCM= 3 × 3 × 13 =9 × 13 =117
Therefore, LCM of 9 and 13 is 117.
LCM of 9 and 13 using the prime factorization.
Steps to follow in the prime factorization:
To find the Divisors of 2 numbers.
Factors of 9=3 × 3
Factors of 13=13 (since it is a prime number).
Look for the greater powers from all factors to find the LCM
LCM= 3 × 3 × 13 =9 × 13 =117
Therefore, LCM of 9 and 13 is 117.
LCM of 9 and 13 using the Division method.
Steps to follow in the division method:
Writing the common prime factors of 2 numbers.
Prime divisor of 9=3 × 3
Prime divisor of 13=13 (since it is a prime number).
Continue dividing the numbers:
LCM= 3 × 3 × 13 =9 × 13 =117
Therefore, LCM of 9 and 13 is 117.
Common mistakes and how to avoid them in LCM of 9 and 13
While learning about LCM of 9 and 13, students may likely make mistakes, to avoid them a few mistakes with solutions are given below:
Mistake 1
Not multiplying the greater factors.
Students don't multiply the highest factors, they forget. To avoid this, practice should be made on this and should start using the greater factors.
LCM of 9 and 13 Examples
Problem 1
What is the LCM of 9 and 13?
Step 1: Find the prime factors of each number:
9=3×3
13 is a prime number, so its only factor is 13.
Step 2: Multiply the highest powers of all prime factors:
The prime factors are 3 and 13.
LCM = 32×13=9×13=117.
Explanation
The LCM of 9 and 13 is 117. We took the highest powers of the prime factors present in both numbers.
Problem 2
What is the LCM of 9,13 and 27?
Step 1: Find the prime factors of each number:
9=3×3=32
13 is a prime number: 13
27=3×3×3=33
Step 2: Take the highest power of each prime factor:
For 3, the highest power is 33.
For 13, the highest power is 131.
Step 3: Calculate the LCM:
LCM=33×13=27×13=351
Explanation
The LCM of 9, 13, and 27 is 351. We used the highest powers of the prime factors, 3 and, 13.
Problem 3
What is the LCM of 13 and 26?
Step 1: Find the prime factors of each number:
13 is a prime number, so its factor is 131.
26=2×13
Step 2: The highest power of each prime factor:
For 2, the highest power is 21.
For 13, the highest power is 131.
Step 3: Calculate the LCM:
LCM=2×13=26
Explanation
The LCM of 13 and 26 is 26. Since 26 is already a multiple of 13, the LCM is 26.
FAQs on LCM of 9 and 13
1.What is the LCM of 9 and 14?
2.What is the LCM of 66 and 44?
3.What is the LCM of 22 and 44?
4.How can children in United States use numbers in everyday life to understand LCM of 9 and 13?
5.What are some fun ways kids in United States can practice LCM of 9 and 13 with numbers?
6.What role do numbers and LCM of 9 and 13 play in helping children in United States develop problem-solving skills?
7.How can families in United States create number-rich environments to improve LCM of 9 and 13 skills?
Important glossaries for the LCM of 9 and 13
- Common multiple: Divisors that are common between both the numbers
- Fraction: A description of a part of a whole.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
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