LCM of 972 and 977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 972 and 977 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 949644 as output. Here you can check the answer for Find the LCM of 972 and 977.
What is LCM of 972 and 977
Given Numbers are 972, 977
We can find the LCM of 972, 977 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 972 and 977
Multiples of 972 =972,1944,2916,3888,4860,5832,6804,7776,8748,9720,10692,11664,12636,13608,14580,15552,16524,
Multiples of 977 =977,1954,2931,3908,4885,5862,6839,7816,8793,9770,10747,11724,12701,13678,14655,15632,16609,
Now, get the least common multiple of 972, 977 which is 949644
So, the LCM of 972, 977 is 949644.
Least Common Multiple (LCM) of 972 and 977 with the help of Prime Factorisation
One method for determining the LCM of 972 and 977 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 972's prime factorization:
| 2 | 972 |
| 2 | 486 |
| 3 | 243 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 972 are 2,3.
972 = 22×35
And this is 977's prime factorization:
| 977 | 977 |
| 1 |
Prime factors of 977 are 977.
977 = 9771
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: 2,3,977
.22×35×9771 = 949644
This shows that the LCM of 972 and 977 is 949644.
How to Calculate the LCM of 972 and 977 Using Common Multiples
The first step in determining the Least Common Multiple of 972 and 977 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 972 and 977:
Lets look at the first ten multiples of these numbers, 972 and 977:
972,1944,2916,3888,4860,5832,6804,7776,8748,16524 are the first ten multiples of 972.
977,1954,2931,3908,4885,5862,6839,7816,8793,16609 are the first ten multiples of 977.
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 972 and 977, for example, are 11664, 16524, and 15632. 949644 is the least common multiple since it is the smallest.
972 and 977 have an LCM of 949644.
Least Common Multiple of 972 and 977 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 972 and 977, than apply into the LCM equation.
GCF(972,977) = 1
LCM(972,977) = ( 972 × 977) / 1
LCM(972,977) = 949644 / 1
LCM(972,977) = 949644
Related Least Common Multiples of 972
Related Least Common Multiples of 977
Frequently Asked Questions on LCM of 972 and 977
1. What is the LCM of 972 and 977?
The LCM of 972 and 977 is 949644.
2. How to find the lowest common multiple of 972 and 977?
To find the lowest common multiple of 972 and 977, we have to get the multip;es of both numbers and identify the least common multiple in them which is 949644.
3. What are the Factors of 972?
Answer: Factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972. There are 18 integers that are factors of 972. The greatest factor of 972 is 972.
4. What are the Factors of 977?
Answer: Factors of 977 are 1, 977. There are 2 integers that are factors of 977. The greatest factor of 977 is 977.
5. How to Find the LCM of 972 and 977?Answer:
Least Common Multiple of 972 and 977 = 949644
Step 1: Find the prime factorization of 972
972 = 2 x 2 x 3 x 3 x 3 x 3 x 3
Step 2: Find the prime factorization of 977
977 = 977
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 949644 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 977
Step 4: Therefore, the least common multiple of 972 and 977 is 949644.