Lcm of 8 and 22

Lcm of 8 and 22 DEFAULT




What is the Least Common Multiple (LCM) of 8 and 22? Here we will show you step-by-step how to find the Least Common Multiple of 8 and 22.

Step 1)First we find and list the prime factors of 8 and 22 (Prime Factorization):

Prime Factors of 8:
2, 2, 2

Prime Factors of 22:
2, 11

Step 2)Then we look at the frequency of the prime factors as they appear in each set above. List each prime factor the greatest number of times it occurs in either sets:

2, 2, 2, 11

Step 3)Finally, we multiply the prime numbers from Step 2 together.

2 x 2 x 2 x 11 = 88

That's it. The Least Common Multiple (LCM) of 8 and 22 is 88.


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LCM of 8 and 22

FAQs on LCM of 8 and 22

What is the LCM of 8 and 22?

The LCM of 8 and 22 is 88. To find the least common multiple (LCM) of 8 and 22, we need to find the multiples of 8 and 22 (multiples of 8 = 8, 16, 24, 32 . . . . 88; multiples of 22 = 22, 44, 66, 88) and choose the smallest multiple that is exactly divisible by 8 and 22, i.e., 88.

Which of the following is the LCM of 8 and 22? 32, 42, 88, 5

The value of LCM of 8, 22 is the smallest common multiple of 8 and 22. The number satisfying the given condition is 88.

If the LCM of 22 and 8 is 88, Find its GCF.

LCM(22, 8) × GCF(22, 8) = 22 × 8
Since the LCM of 22 and 8 = 88
⇒ 88 × GCF(22, 8) = 176
Therefore, the greatest common factor (GCF) = 176/88 = 2.

What are the Methods to Find LCM of 8 and 22?

The commonly used methods to find the LCM of 8 and 22 are:

  • Prime Factorization Method
  • Division Method
  • Listing Multiples

What is the Least Perfect Square Divisible by 8 and 22?

The least number divisible by 8 and 22 = LCM(8, 22)
LCM of 8 and 22 = 2 × 2 × 2 × 11 [Incomplete pair(s): 2, 11]
⇒ Least perfect square divisible by each 8 and 22 = LCM(8, 22) × 2 × 11 = 1936 [Square root of 1936 = √1936 = ±44]
Therefore, 1936 is the required number.

 

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What is the Least Common Multiple of 8 and 22?

The LCM (least common multiple) of the numbers 8 and 22 is 88

See calculation

Least Common Multiple  of 8 and 22 is 88

How to find the Least Common Multiple of 8 and 22?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 8 and 22.

Follow the steps below, and let's calculate the LCM of 8 and 22.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 8 and 22:

Prime factors of 8

The prime factors of 8 are 2, 2 and 2. Prime factorization of 8 in exponential form is:

8 = 23

Prime factors of 22

The prime factors of 22 are 2 and 11. Prime factorization of 22 in exponential form is:

22 = 21x111


Step 2: Identify the highest power of each prime number from the above boxes:


Step 3: Multiply these values together:


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 8 and 22.

The Least Common Multiple of 8 and 22 is 88.


Method 2 - List of Multiples

Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.


Multiples of 8:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112

Multiples of 22:

22, 44, 66, 88, 110, 132, 154


Therefore,

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The question "What is the LCM and GCF of 8 and 22?" can be split into two questions: "What is the LCM of 8 and 22?" and "What is the GCF of 8 and 22?"

In the question "What is the LCM and GCF of 8 and 22?", LCM is the abbreviation of Least Common Multiple and GCF is the abbreviation of Greatest Common Factor.

To find the LCM, we first list the multiples of 8 and 22 and then we find the smallest multiple they have in common. To find the multiples of any number, you simply multiply the number by 1, then by 2, then by 3 and so on. Here is the beginning list of multiples of 8 and 22:

Multiples of 8: 8, 16, 24, 32, 40, 48, etc.

Multiples of 22: 22, 44, 66, 88, 110, 132, etc.

The least multiple on the two lists that they have in common is the LCM of 8 and 22. Therefore, the LCM of 8 and 22 is 88.


To find the GCF, we first list the factors of 8 and 22 and then we find the largest factor they have in common. The factors of any number, are all the numbers that you can evenly divide into that number.

In other words, the factors of 8 are all the numbers that can evenly divide into 8, and the factors of 22 are all the numbers that can evenly divide into 22. Here are the factors for 8 and 22:

Factors of 8: 1, 2, 4, and 8.

Factors of 22: 1, 2, 11, and 22.

The greatest factor on the two lists that they have in common is the GCF of 8 and 22. Therefore, the GCF of 8 and 22 is 2.

In summary, the answer to the question "What is the LCM and GCF of 8 and 22?" is 88 and 2.


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And 22 of 8 lcm

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The Least Common Multiple (LCM) of 8 and 22 is the smallest positive number that is a multiple of both 8 and 22.

Here we will show you two different ways to figure out the Least Common Multiple of 8 and 22.

Our favorite way is to find the prime factors of each number and then merge them together to get the answer.

The prime factor(s) of 8 are:
2 x 2 x 2

The prime factor(s) of 22 are:
2 x 11

Merging them together using the least amount of factors, you get:

2 x 2 x 2 x 11

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 8 and 22 as follows:

88


To find the Least Common Multiple of 8 and 22, you can also make a list of multiples of 8 and a list of multiples of 22.

Multiples of 8 would be 8, 16, 24, 32 and so on.

Multiples of 22 would be 22, 44, 66, 88 and so on.

Now, compare the two lists to find the smallest number the two lists have in common, which is the Least Common Multiple of 8 and 22. You will once again see that the answer will be:

88

What is the Least Common
Multiple of 8 and 23?
Go here for the next Least Common Multiple on our list that we calculated.

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LCM and GCF 14 and 22

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