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LCM of 8 and 11

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.

lcm of 8 and 11

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 Examples 

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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