LCM of 324 and 332
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 324 and 332 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 26892 as output. Here you can check the answer for Find the LCM of 324 and 332.
What is LCM of 324 and 332
Given Numbers are 324, 332
We can find the LCM of 324, 332 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 324 and 332
Multiples of 324 =324,648,972,1296,1620,1944,2268,2592,2916,3240,3564,3888,4212,4536,4860,5184,5508,
Multiples of 332 =332,664,996,1328,1660,1992,2324,2656,2988,3320,3652,3984,4316,4648,4980,5312,5644,
Now, get the least common multiple of 324, 332 which is 26892
So, the LCM of 324, 332 is 26892.
Least Common Multiple (LCM) of 324 and 332 with the help of Prime Factorisation
One method for determining the LCM of 324 and 332 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 324's prime factorization:
| 2 | 324 |
| 2 | 162 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 324 are 2,3.
324 = 22×34
And this is 332's prime factorization:
| 2 | 332 |
| 2 | 166 |
| 83 | 83 |
| 1 |
Prime factors of 332 are 2,83.
332 = 22×831
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: 2,3,83
.22×34×831 = 26892
This shows that the LCM of 324 and 332 is 26892.
How to Calculate the LCM of 324 and 332 Using Common Multiples
The first step in determining the Least Common Multiple of 324 and 332 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 324 and 332:
Lets look at the first ten multiples of these numbers, 324 and 332:
324,648,972,1296,1620,1944,2268,2592,2916,5508 are the first ten multiples of 324.
332,664,996,1328,1660,1992,2324,2656,2988,5644 are the first ten multiples of 332.
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 324 and 332, for example, are 3888, 5508, and 5312. 26892 is the least common multiple since it is the smallest.
324 and 332 have an LCM of 26892.
Least Common Multiple of 324 and 332 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 324 and 332, than apply into the LCM equation.
GCF(324,332) = 4
LCM(324,332) = ( 324 × 332) / 4
LCM(324,332) = 107568 / 4
LCM(324,332) = 26892
Related Least Common Multiples of 324
Related Least Common Multiples of 332
Frequently Asked Questions on LCM of 324 and 332
1. What is the LCM of 324 and 332?
The LCM of 324 and 332 is 26892.
2. How to find the lowest common multiple of 324 and 332?
To find the lowest common multiple of 324 and 332, we have to get the multip;es of both numbers and identify the least common multiple in them which is 26892.
3. What are the Factors of 324?
Answer: Factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324. There are 15 integers that are factors of 324. The greatest factor of 324 is 324.
4. What are the Factors of 332?
Answer: Factors of 332 are 1, 2, 4, 83, 166, 332. There are 6 integers that are factors of 332. The greatest factor of 332 is 332.
5. How to Find the LCM of 324 and 332?Answer:
Least Common Multiple of 324 and 332 = 26892
Step 1: Find the prime factorization of 324
324 = 2 x 2 x 3 x 3 x 3 x 3
Step 2: Find the prime factorization of 332
332 = 2 x 2 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26892 = 2 x 2 x 3 x 3 x 3 x 3 x 83
Step 4: Therefore, the least common multiple of 324 and 332 is 26892.