LCM of 81 and 87
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 81 and 87 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 2349 as output. Here you can check the answer for Find the LCM of 81 and 87.
What is LCM of 81 and 87
Given Numbers are 81, 87
We can find the LCM of 81, 87 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 81 and 87
Multiples of 81 =81,162,243,324,405,486,567,648,729,810,891,972,1053,1134,1215,1296,1377,
Multiples of 87 =87,174,261,348,435,522,609,696,783,870,957,1044,1131,1218,1305,1392,1479,
Now, get the least common multiple of 81, 87 which is 2349
So, the LCM of 81, 87 is 2349.
Least Common Multiple (LCM) of 81 and 87 with the help of Prime Factorisation
One method for determining the LCM of 81 and 87 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 81's prime factorization:
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 81 are 3.
81 = 34
And this is 87's prime factorization:
| 3 | 87 |
| 29 | 29 |
| 1 |
Prime factors of 87 are 3,29.
87 = 31×291
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:3,29
.34×291 = 2349
This shows that the LCM of 81 and 87 is 2349.
How to Calculate the LCM of 81 and 87 Using Common Multiples
The first step in determining the Least Common Multiple of 81 and 87 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 81 and 87:
Lets look at the first ten multiples of these numbers, 81 and 87:
81,162,243,324,405,486,567,648,729,1377 are the first ten multiples of 81.
87,174,261,348,435,522,609,696,783,1479 are the first ten multiples of 87.
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 81 and 87, for example, are 972, 1377, and 1392. 2349 is the least common multiple since it is the smallest.
81 and 87 have an LCM of 2349.
Least Common Multiple of 81 and 87 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81 and 87, than apply into the LCM equation.
GCF(81,87) = 3
LCM(81,87) = ( 81 × 87) / 3
LCM(81,87) = 7047 / 3
LCM(81,87) = 2349
Related Least Common Multiples of 81
Related Least Common Multiples of 87
Frequently Asked Questions on LCM of 81 and 87
1. What is the LCM of 81 and 87?
The LCM of 81 and 87 is 2349.
2. How to find the lowest common multiple of 81 and 87?
To find the lowest common multiple of 81 and 87, we have to get the multip;es of both numbers and identify the least common multiple in them which is 2349.
3. What are the Factors of 81?
Answer: Factors of 81 are 1, 3, 9, 27, 81. There are 5 integers that are factors of 81. The greatest factor of 81 is 81.
4. What are the Factors of 87?
Answer: Factors of 87 are 1, 3, 29, 87. There are 4 integers that are factors of 87. The greatest factor of 87 is 87.
5. How to Find the LCM of 81 and 87?Answer:
Least Common Multiple of 81 and 87 = 2349
Step 1: Find the prime factorization of 81
81 = 3 x 3 x 3 x 3
Step 2: Find the prime factorization of 87
87 = 3 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2349 = 3 x 3 x 3 x 3 x 29
Step 4: Therefore, the least common multiple of 81 and 87 is 2349.