LCM of 967 and 972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 967 and 972 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 939924 as output. Here you can check the answer for Find the LCM of 967 and 972.
What is LCM of 967 and 972
Given Numbers are 967, 972
We can find the LCM of 967, 972 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 967 and 972
Multiples of 967 =967,1934,2901,3868,4835,5802,6769,7736,8703,9670,10637,11604,12571,13538,14505,15472,16439,
Multiples of 972 =972,1944,2916,3888,4860,5832,6804,7776,8748,9720,10692,11664,12636,13608,14580,15552,16524,
Now, get the least common multiple of 967, 972 which is 939924
So, the LCM of 967, 972 is 939924.
Least Common Multiple (LCM) of 967 and 972 with the help of Prime Factorisation
One method for determining the LCM of 967 and 972 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 967's prime factorization:
| 967 | 967 |
| 1 |
Prime factors of 967 are 967.
967 = 9671
And this 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
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:967, 2,3
.22×35×9671 = 939924
This shows that the LCM of 967 and 972 is 939924.
How to Calculate the LCM of 967 and 972 Using Common Multiples
The first step in determining the Least Common Multiple of 967 and 972 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 967 and 972:
Lets look at the first ten multiples of these numbers, 967 and 972:
967,1934,2901,3868,4835,5802,6769,7736,8703,16439 are the first ten multiples of 967.
972,1944,2916,3888,4860,5832,6804,7776,8748,16524 are the first ten multiples of 972.
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 967 and 972, for example, are 11604, 16439, and 15552. 939924 is the least common multiple since it is the smallest.
967 and 972 have an LCM of 939924.
Least Common Multiple of 967 and 972 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 967 and 972, than apply into the LCM equation.
GCF(967,972) = 1
LCM(967,972) = ( 967 × 972) / 1
LCM(967,972) = 939924 / 1
LCM(967,972) = 939924
Related Least Common Multiples of 967
Related Least Common Multiples of 972
Frequently Asked Questions on LCM of 967 and 972
1. What is the LCM of 967 and 972?
The LCM of 967 and 972 is 939924.
2. How to find the lowest common multiple of 967 and 972?
To find the lowest common multiple of 967 and 972, we have to get the multip;es of both numbers and identify the least common multiple in them which is 939924.
3. What are the Factors of 967?
Answer: Factors of 967 are 1, 967. There are 2 integers that are factors of 967. The greatest factor of 967 is 967.
4. 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.
5. How to Find the LCM of 967 and 972?Answer:
Least Common Multiple of 967 and 972 = 939924
Step 1: Find the prime factorization of 967
967 = 967
Step 2: Find the prime factorization of 972
972 = 2 x 2 x 3 x 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 = 939924 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 967
Step 4: Therefore, the least common multiple of 967 and 972 is 939924.