LCM of 8 and 11 is 88. Among the multiples of 8 and 11, the value which is evenly divisible gives the LCM. Least common multiple of 8 and 11 is the common multiple obtained using the multiplication operation. (8, 16, 24, 32, 40, ….) and (11, 22, 33, 44, 55, ….) are the multiples of 8 and 11. The LCM of two numbers is determined using methods like the listing of multiples, prime factorization and division.
Also read: Least common multiple
What is LCM of 8 and 11?
The answer to this question is 88. The LCM of 8 and 11 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 8 and 11, is the smallest positive integer 88 which is divisible by both 8 and 11 with no remainder.
How to Find LCM of 8 and 11?
LCM of 8 and 11 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 8 and 11 Using Prime Factorisation Method
The prime factorisation of 8 and 11, respectively, is given by:
8 = 2 x 2 x 2 = 2³
11 = 11¹
LCM (8, 11) = 88
LCM of 8 and 11 Using Division Method
We’ll divide the numbers (8, 11) by their prime factors to get the LCM of 8 and 11 using the division method (preferably common). The LCM of 8 and 11 is calculated by multiplying these divisors.
| 2 | 8 | 11 |
| 2 | 4 | 11 |
| 2 | 2 | 11 |
| 11 | 1 | 11 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (8, 11) = 88
LCM of 8 and 11 Using Listing the Multiples
To calculate the LCM of 8 and 11 by listing out the common multiples, list the multiples as shown below:
| Multiples of 8 | Multiples of 11 |
| 8 | 11 |
| 16 | 22 |
| 24 | 33 |
| 32 | 44 |
| 40 | 55 |
| 48 | 66 |
| 56 | 77 |
| 64 | 88 |
| 72 | 99 |
| 80 | – |
| 88 | – |
| 96 | – |
LCM (8, 11) = 88
Related Articles
Video Lesson on Applications of LCM
LCM of 8 and 11 Solved Example
Question: Which is the smallest number exactly divisible by 8 and 11?
Solution:
We know that
LCM is the smallest number exactly divisible by 8 and 11.
Multiples of 8 = 8, 16, 24, 32, 40, ….
Multiples of 11 = 11, 22, 33, 44, 55, 66, 77, …..
Hence, the LCM of 8 and 11 is 88.
Frequently Asked Questions on LCM of 8 and 11
Which methods can be used to find the LCM of 8 and 11?
The methods which can be used to find the LCM of 8 and 11 are
Prime Factorisation
Division method
Listing the multiples
With the help of the prime factorisation method, find the LCM of 8 and 11.
We should know the factors first to find the LCM
8 = 2 x 2 x 2 = 2³
11 = 11¹
LCM is the product of prime factors raised to the highest exponent among 8 and 11.
LCM of 8 and 11 = 88
Find the GCF if the LCM of 8 and 11 is 88.
LCM x GCF = 8 x 11
As the LCM = 88
88 x GCF = 88
GCF = 88/88 = 1
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