LCM of 11 and 16
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 11 and 16 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 176 as output. Here you can check the answer for Find the LCM of 11 and 16.
What is LCM of 11 and 16
Given Numbers are 11, 16
We can find the LCM of 11, 16 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 11 and 16
Multiples of 11 =11,22,33,44,55,66,77,88,99,110,121,132,143,154,165,176,187,
Multiples of 16 =16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,
Now, get the least common multiple of 11, 16 which is 176
So, the LCM of 11, 16 is 176.
Least Common Multiple (LCM) of 11 and 16 with the help of Prime Factorisation
One method for determining the LCM of 11 and 16 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:
Here is 11's prime factorization:
| 11 | 11 |
| 1 |
Prime factors of 11 are 11.
11 = 111
And this is 16's prime factorization:
| 2 | 16 |
| 2 | 8 |
| 2 | 4 |
| 2 | 2 |
| 1 |
Prime factors of 16 are 2.
16 = 24
When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered:11,2
.24×111 = 176
This shows that the LCM of 11 and 16 is 176.
How to Calculate the LCM of 11 and 16 Using Common Multiples
The first step in determining the Least Common Multiple of 11 and 16 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 11 and 16:
Lets look at the first ten multiples of these numbers, 11 and 16:
11,22,33,44,55,66,77,88,99,187 are the first ten multiples of 11.
16,32,48,64,80,96,112,128,144,272 are the first ten multiples of 16.
You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 11 and 16, for example, are 132, 187, and 256. 176 is the least common multiple since it is the smallest.
11 and 16 have an LCM of 176.
Least Common Multiple of 11 and 16 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11 and 16, than apply into the LCM equation.
GCF(11,16) = 1
LCM(11,16) = ( 11 × 16) / 1
LCM(11,16) = 176 / 1
LCM(11,16) = 176
Related Least Common Multiples of 11
Related Least Common Multiples of 16
Frequently Asked Questions on LCM of 11 and 16
1. What is the LCM of 11 and 16?
The LCM of 11 and 16 is 176.
2. How to find the lowest common multiple of 11 and 16?
To find the lowest common multiple of 11 and 16, we have to get the multip;es of both numbers and identify the least common multiple in them which is 176.
3. What are the Factors of 11?
Answer: Factors of 11 are 1, 11. There are 2 integers that are factors of 11. The greatest factor of 11 is 11.
4. What are the Factors of 16?
Answer: Factors of 16 are 1, 2, 4, 8, 16. There are 5 integers that are factors of 16. The greatest factor of 16 is 16.
5. How to Find the LCM of 11 and 16?Answer:
Least Common Multiple of 11 and 16 = 176
Step 1: Find the prime factorization of 11
11 = 11
Step 2: Find the prime factorization of 16
16 = 2 x 2 x 2 x 2
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 176 = 2 x 2 x 2 x 2 x 11
Step 4: Therefore, the least common multiple of 11 and 16 is 176.