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Last updated on November 29th, 2024

LCM of 9 and 13

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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

LCM of 9 and 13 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

What is the LCM of 9 and 13?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Problem 2

What is the LCM of 9,13 and 27?

Explanation

Problem 3

What is the LCM of 13 and 26?

Explanation

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?

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.