LCM of 963 and 971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 963 and 971 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 935073 as output. Here you can check the answer for Find the LCM of 963 and 971.
What is LCM of 963 and 971
Given Numbers are 963, 971
We can find the LCM of 963, 971 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 963 and 971
Multiples of 963 =963,1926,2889,3852,4815,5778,6741,7704,8667,9630,10593,11556,12519,13482,14445,15408,16371,
Multiples of 971 =971,1942,2913,3884,4855,5826,6797,7768,8739,9710,10681,11652,12623,13594,14565,15536,16507,
Now, get the least common multiple of 963, 971 which is 935073
So, the LCM of 963, 971 is 935073.
Least Common Multiple (LCM) of 963 and 971 with the help of Prime Factorisation
One method for determining the LCM of 963 and 971 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 963's prime factorization:
| 3 | 963 |
| 3 | 321 |
| 107 | 107 |
| 1 |
Prime factors of 963 are 3,107.
963 = 32×1071
And this is 971's prime factorization:
| 971 | 971 |
| 1 |
Prime factors of 971 are 971.
971 = 9711
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: 3,107,971
.32×1071×9711 = 935073
This shows that the LCM of 963 and 971 is 935073.
How to Calculate the LCM of 963 and 971 Using Common Multiples
The first step in determining the Least Common Multiple of 963 and 971 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 963 and 971:
Lets look at the first ten multiples of these numbers, 963 and 971:
963,1926,2889,3852,4815,5778,6741,7704,8667,16371 are the first ten multiples of 963.
971,1942,2913,3884,4855,5826,6797,7768,8739,16507 are the first ten multiples of 971.
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 963 and 971, for example, are 11556, 16371, and 15536. 935073 is the least common multiple since it is the smallest.
963 and 971 have an LCM of 935073.
Least Common Multiple of 963 and 971 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 963 and 971, than apply into the LCM equation.
GCF(963,971) = 1
LCM(963,971) = ( 963 × 971) / 1
LCM(963,971) = 935073 / 1
LCM(963,971) = 935073
Related Least Common Multiples of 963
Related Least Common Multiples of 971
Frequently Asked Questions on LCM of 963 and 971
1. What is the LCM of 963 and 971?
The LCM of 963 and 971 is 935073.
2. How to find the lowest common multiple of 963 and 971?
To find the lowest common multiple of 963 and 971, we have to get the multip;es of both numbers and identify the least common multiple in them which is 935073.
3. What are the Factors of 963?
Answer: Factors of 963 are 1, 3, 9, 107, 321, 963. There are 6 integers that are factors of 963. The greatest factor of 963 is 963.
4. What are the Factors of 971?
Answer: Factors of 971 are 1, 971. There are 2 integers that are factors of 971. The greatest factor of 971 is 971.
5. How to Find the LCM of 963 and 971?Answer:
Least Common Multiple of 963 and 971 = 935073
Step 1: Find the prime factorization of 963
963 = 3 x 3 x 107
Step 2: Find the prime factorization of 971
971 = 971
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 935073 = 3 x 3 x 107 x 971
Step 4: Therefore, the least common multiple of 963 and 971 is 935073.