LCM of 9 and 11
2026-02-21 20:34 Diff
https://brightchamps.com/en-us/math/numbers/lcm-of-9-and-11

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Last updated on August 5, 2025

The smallest number that should also be a positive number, and evenly divide both the numbers, is known as the least common factor. LCM is very important for solving problems, especially fractions, scheduling events etc.

What is the LCM of 9 and 11

The LCM of 9 and 11 is the lowest number that divides both 9 and 11 without leaving any remainder. The LCM of 9 and 11 is 99.
 

How to find the LCM of 9 and 11?

LCM of 9 and 11 using Division method:

In the division method, we divide both the numbers by the lowest possible number until we get 1 for both numbers.

1 divides both 9 and 11


9 divided by 9 = 1


11 divided by 11 = 1

LCM = 9 × 11= 99.
 

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LCM of 9 and 11 using Listing multiples:

We write the multiples of both numbers till we find the common one.


Multiples of 9 : 9,18,27,36,45,54,63,72,81,90,99…


Multiples of 11: 11, 22,33,44,55,66,77,88,99…


The common multiple is 99. So, the LCM of 9 and 11 is 99.
 

LCM of 9 and 11 using prime factorization:

We part each number into divisors and select the highest powers of all the prime factors.

9= 3 × 3


11= 11

LCM = 11 × 3 × 3 = 99.
 

Common Mistakes and How to Avoid Them in LCM of 9 and 11

While solving problems on LCM, children are likely to make common mistakes, here are a few mistakes and how to avoid them.
 

Problem 1

If the LCM of 9 and a number x is 99. Find the missing number x.

Okay, lets begin

LCM(a, b) x GCD(a, b)= a × b


Here, a=9, LCM (9,x)=99


99=9 × x


99=9x


x=99/9


x=11.
 

Explanation

The missing number x is 11, as 99 is the smallest multiple of both 99 and 11.
 

Well explained 👍

Problem 2

Solve : 54/9 + 121/11

Okay, lets begin

LCM(9,11)=99

54/9 = 54 x 11/9 x11=594/99 , 121/11=121x 9/11x9 =1089/99

Add the fractions:


594/99 + 1089/99 = 1683/99
 

Explanation

The sum of 5/9and 12/11 simplifies to 163/99.
 

Well explained 👍

Problem 3

Simplify the expression: 5 / LCM(9,11) + 6 / LCM(9,11)

Okay, lets begin

LCM (9,11) =99

55/99 + 54/99 

55+54/99 =109/99 

Explanation

The expression 5×LCM(9,11)+6×LCM(9,11) simplifies to 1089.
 

Well explained 👍

FAQs on LCM of 9 and 11

1.What is the LCM of 8, 9 and 11?

 By prime factorization,


8= 2×2×2


9=3x3


11=11


LCM= 23 × 32 × 11


The LCM of 8, 9 and 11 is 792. 
 

2.Is 100 a multiple of 6?

 multiples of 6 are infinite, but here are the multiples between 6 and 100, 6,12,18,24,30,36,42,48,54,60,66,72,78,83,90 and 96.
 

3.Is 49 a factor of 7?

The smallest prime factor of 49 is 7. So 7 divided 49 without leaving any remainder.
 

4.Are all multiples of 7 odd?

No, because 7 is odd, not all the multiples of 7 are odd. The numbers that can be divided by 2 are even and that cannot be divided are odd.
 

5.What is the GCF of 9 and 11?

The GCF of 9 and 11 is 1. GCF is also called the HCF. The number is the largest common number that divides both 9 and 11 exactly.
 

Important glossaries for LCM of 9 and 11

  • Co-prime: two numbers that have only one number that is 1 as their common factor.  For example, 8 and 15 are co-prime numbers.
  • Even Number: A natural number is divisible by 2. For example, 2,4,68,10 etc.
  • Prime Factorization: The process of parting down a number into its prime factors is called Prime Factorization.  For example, prime factorization of 24 = 2 × 2 × 2 × 3.
     

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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

: She loves to read number jokes and games.