LCM of 973 and 981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 973 and 981 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 954513 as output. Here you can check the answer for Find the LCM of 973 and 981.
What is LCM of 973 and 981
Given Numbers are 973, 981
We can find the LCM of 973, 981 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 973 and 981
Multiples of 973 =973,1946,2919,3892,4865,5838,6811,7784,8757,9730,10703,11676,12649,13622,14595,15568,16541,
Multiples of 981 =981,1962,2943,3924,4905,5886,6867,7848,8829,9810,10791,11772,12753,13734,14715,15696,16677,
Now, get the least common multiple of 973, 981 which is 954513
So, the LCM of 973, 981 is 954513.
Least Common Multiple (LCM) of 973 and 981 with the help of Prime Factorisation
One method for determining the LCM of 973 and 981 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 973's prime factorization:
| 7 | 973 |
| 139 | 139 |
| 1 |
Prime factors of 973 are 7,139.
973 = 71×1391
And this is 981's prime factorization:
| 3 | 981 |
| 3 | 327 |
| 109 | 109 |
| 1 |
Prime factors of 981 are 3,109.
981 = 32×1091
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: 7,139, 3,109
.32×71×1091×1391 = 954513
This shows that the LCM of 973 and 981 is 954513.
How to Calculate the LCM of 973 and 981 Using Common Multiples
The first step in determining the Least Common Multiple of 973 and 981 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 973 and 981:
Lets look at the first ten multiples of these numbers, 973 and 981:
973,1946,2919,3892,4865,5838,6811,7784,8757,16541 are the first ten multiples of 973.
981,1962,2943,3924,4905,5886,6867,7848,8829,16677 are the first ten multiples of 981.
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 973 and 981, for example, are 11676, 16541, and 15696. 954513 is the least common multiple since it is the smallest.
973 and 981 have an LCM of 954513.
Least Common Multiple of 973 and 981 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 973 and 981, than apply into the LCM equation.
GCF(973,981) = 1
LCM(973,981) = ( 973 × 981) / 1
LCM(973,981) = 954513 / 1
LCM(973,981) = 954513
Related Least Common Multiples of 973
Related Least Common Multiples of 981
Frequently Asked Questions on LCM of 973 and 981
1. What is the LCM of 973 and 981?
The LCM of 973 and 981 is 954513.
2. How to find the lowest common multiple of 973 and 981?
To find the lowest common multiple of 973 and 981, we have to get the multip;es of both numbers and identify the least common multiple in them which is 954513.
3. What are the Factors of 973?
Answer: Factors of 973 are 1, 7, 139, 973. There are 4 integers that are factors of 973. The greatest factor of 973 is 973.
4. What are the Factors of 981?
Answer: Factors of 981 are 1, 3, 9, 109, 327, 981. There are 6 integers that are factors of 981. The greatest factor of 981 is 981.
5. How to Find the LCM of 973 and 981?Answer:
Least Common Multiple of 973 and 981 = 954513
Step 1: Find the prime factorization of 973
973 = 7 x 139
Step 2: Find the prime factorization of 981
981 = 3 x 3 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 954513 = 3 x 3 x 7 x 109 x 139
Step 4: Therefore, the least common multiple of 973 and 981 is 954513.