LCM of 76 and 81
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 76 and 81 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 6156 as output. Here you can check the answer for Find the LCM of 76 and 81.
What is LCM of 76 and 81
Given Numbers are 76, 81
We can find the LCM of 76, 81 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 76 and 81
Multiples of 76 =76,152,228,304,380,456,532,608,684,760,836,912,988,1064,1140,1216,1292,
Multiples of 81 =81,162,243,324,405,486,567,648,729,810,891,972,1053,1134,1215,1296,1377,
Now, get the least common multiple of 76, 81 which is 6156
So, the LCM of 76, 81 is 6156.
Least Common Multiple (LCM) of 76 and 81 with the help of Prime Factorisation
One method for determining the LCM of 76 and 81 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 76's prime factorization:
| 2 | 76 |
| 2 | 38 |
| 19 | 19 |
| 1 |
Prime factors of 76 are 2,19.
76 = 22×191
And this is 81's prime factorization:
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 81 are 3.
81 = 34
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: 2,19,3
.22×34×191 = 6156
This shows that the LCM of 76 and 81 is 6156.
How to Calculate the LCM of 76 and 81 Using Common Multiples
The first step in determining the Least Common Multiple of 76 and 81 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 76 and 81:
Lets look at the first ten multiples of these numbers, 76 and 81:
76,152,228,304,380,456,532,608,684,1292 are the first ten multiples of 76.
81,162,243,324,405,486,567,648,729,1377 are the first ten multiples of 81.
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 76 and 81, for example, are 912, 1292, and 1296. 6156 is the least common multiple since it is the smallest.
76 and 81 have an LCM of 6156.
Least Common Multiple of 76 and 81 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76 and 81, than apply into the LCM equation.
GCF(76,81) = 1
LCM(76,81) = ( 76 × 81) / 1
LCM(76,81) = 6156 / 1
LCM(76,81) = 6156
Related Least Common Multiples of 76
Related Least Common Multiples of 81
Frequently Asked Questions on LCM of 76 and 81
1. What is the LCM of 76 and 81?
The LCM of 76 and 81 is 6156.
2. How to find the lowest common multiple of 76 and 81?
To find the lowest common multiple of 76 and 81, we have to get the multip;es of both numbers and identify the least common multiple in them which is 6156.
3. What are the Factors of 76?
Answer: Factors of 76 are 1, 2, 4, 19, 38, 76. There are 6 integers that are factors of 76. The greatest factor of 76 is 76.
4. 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.
5. How to Find the LCM of 76 and 81?Answer:
Least Common Multiple of 76 and 81 = 6156
Step 1: Find the prime factorization of 76
76 = 2 x 2 x 19
Step 2: Find the prime factorization of 81
81 = 3 x 3 x 3 x 3
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6156 = 2 x 2 x 3 x 3 x 3 x 3 x 19
Step 4: Therefore, the least common multiple of 76 and 81 is 6156.