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Last updated on May 26th, 2025

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LCM of 13 and 15

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We use the LCM in basic everyday operations like making music and setting alarms. LCM of 13 and 15 is the smallest positive integer that divides the numbers with no numbers left behind. In this article, lets learn more about the LCM .

LCM of 13 and 15 for Indian Students
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What is the LCM of 13 and 15?

The LCM of 13 and 15 is 195. 


We find this using different methods which are explained below and apply it in different examples. 
 

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How to find the LCM of 13 and 15?

The LCM of 13 and 15 can be found using the listing multiples method, the prime factorization method and the division method. These are explained below; 

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Listing multiples method

In this method, we just list down the multiples of both the numbers till we land at the smallest common number between the digits. 


To illustrate; 


Multiples of 13 = 13,26,39,52,65,78,91,104,117,130…195


Multiples of 15 = 15,30,45,60,75,90,105,…195


From the above we can tell that the smallest number, common among 13 and 15 is 195.


LCM(13,15) = 195 
 

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Prime factorization method

Here, we factorize the numbers into their prime factors and multiply the highest powers to find the LCM. In the case of 13 and 15;


Step 1: Prime factorize,


13 = 13 


15 = 3×5


Step 2: Multiply the highest powers,


LCM of 13 and 15 = 13×3×5 


Step 3: Multiply the factors to get the LCM


LCM(13,15) = 195

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Division method

In the division method, 

 

  • Write the numbers given (13,15) in a row. 

 

  • Proceed with dividing the numbers with a factor that id divisible by at least one of the numbers. 

 

  • Carry forward the numbers that are not divided earlier. 

 

  • Continue division till the remainder is 1. 

 

  • Multiply the divisors in the first column to find the LCM. 

 

  • LCM(13,15) = 195
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Common mistakes and How to avoid them in the LCM of 13 and 15

Below are a few mistakes one is likely to make while learning to find the LCM of 13 and 15. Be mindful of the same while practicing. 

Mistake 1

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 Listing few multiples and assuming 
 

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While listing the multiples of 13 and 15, one needs to list multiples up to 15 in case of 13 and 13 in case of 15. Many list up to 5 or 6 multiples and assume one of them is the LCM which is incorrect. 
 

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LCM of 13 and 15 Examples

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Problem 1

a=13, b=15. Use LCM(a,b)=a×b/HCF(a,b) to find the LCM.

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a=13, b=15. 


HCF of 13,15; 


Factors of the numbers; 


13 = 1,13 


15 = 1,3,5,15 


HCF(13,15) = 1


Apply the formula


LCM(a,b)=a×b/HCF(a,b)


LCM(13,15)=13×15/1


LCM(13,15) = 195 
 

Explanation

By using  LCM(a,b)=a×b/HCF(a,b) → the above is how we find the LCM of the numbers 13 and 15. 
 

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Problem 2

Verify a=13,b=15 LCM(a,b)×HCF(a,b)=a×b is satisfied.

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LCM of 13,15 = 195 


HCF of 13, 15 = 1


LCM(a,b)×HCF(a,b)=a×b 


195×1 = 13×15 


195 = 195 
 

Explanation

LHS = RHS, the relationship stands true. 

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FAQs on the LCM of 13 and 15

1.What is the LCM of 3 and 15?

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2.What is the LCM of 2 and 15?

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3.What is the LCM of 15 and 75?

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4.Find the HCF of 8 and 24.

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5.What is the LCM of 16 and 24?

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6.How can children in India use numbers in everyday life to understand LCM of 13 and 15 ?

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7.What are some fun ways kids in India can practice LCM of 13 and 15 with numbers?

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8.What role do numbers and LCM of 13 and 15 play in helping children in India develop problem-solving skills?

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9.How can families in India create number-rich environments to improve LCM of 13 and 15 skills?

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Important glossaries for the LCM of 13 and 15

  • Multiple : It is a product of a number and any natural integer. So for 18; 18,36,54 are the multiples.

 

  • Prime Factor : It is a prime number that one gets after factorization of any given number. Like for 15; 1,3,5, and 15 are prime factors as they can be divided by 1 or the number itself.

 

  • Prime Factorization : It is a process of dividing the number into prime factors.

 

  • Co-prime numbers : These are the positive integers, where both the numbers can be divided only by 1. 

 

  • Fraction : It is expressed as part of a whole, in which the numerator is divided by the denominator, so for a fraction like 13/15 , 13 is the numerator and 15 is the denominator. Proper fraction is where numerator is always lesser than denominator.
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About BrightChamps in India

At BrightChamps, we understand numbers are much more than just digits—they open doors to endless possibilities! We strive to help children all across India master key math skills, focusing today on the LCM of 13 and 15 with a special emphasis on understanding the LCM—in a way that’s lively, enjoyable, and easy to understand. Whether your child is calculating how fast a train passes by, keeping scores during a cricket match, or managing pocket money to buy new gadgets, mastering numbers boosts their confidence for everyday situations. Our interactive lessons make learning simple and fun. Since children in India have varied learning styles, we customize our teaching to fit each child. From the bustling markets of Mumbai to the vibrant streets of Delhi, BrightChamps brings math to life, making it relatable and exciting all across India. Let’s make the LCM an enjoyable part of every child’s math learning!
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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.

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Fun Fact

: She loves to read number jokes and games.

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