LCM of 326 and 332
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 326 and 332 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 54116 as output. Here you can check the answer for Find the LCM of 326 and 332.
What is LCM of 326 and 332
Given Numbers are 326, 332
We can find the LCM of 326, 332 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 326 and 332
Multiples of 326 =326,652,978,1304,1630,1956,2282,2608,2934,3260,3586,3912,4238,4564,4890,5216,5542,
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 326, 332 which is 54116
So, the LCM of 326, 332 is 54116.
Least Common Multiple (LCM) of 326 and 332 with the help of Prime Factorisation
One method for determining the LCM of 326 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 326's prime factorization:
| 2 | 326 |
| 163 | 163 |
| 1 |
Prime factors of 326 are 2,163.
326 = 21×1631
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: 2,163,83
.22×831×1631 = 54116
This shows that the LCM of 326 and 332 is 54116.
How to Calculate the LCM of 326 and 332 Using Common Multiples
The first step in determining the Least Common Multiple of 326 and 332 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 326 and 332:
Lets look at the first ten multiples of these numbers, 326 and 332:
326,652,978,1304,1630,1956,2282,2608,2934,5542 are the first ten multiples of 326.
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 326 and 332, for example, are 3912, 5542, and 5312. 54116 is the least common multiple since it is the smallest.
326 and 332 have an LCM of 54116.
Least Common Multiple of 326 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 326 and 332, than apply into the LCM equation.
GCF(326,332) = 2
LCM(326,332) = ( 326 × 332) / 2
LCM(326,332) = 108232 / 2
LCM(326,332) = 54116
Related Least Common Multiples of 326
Related Least Common Multiples of 332
Frequently Asked Questions on LCM of 326 and 332
1. What is the LCM of 326 and 332?
The LCM of 326 and 332 is 54116.
2. How to find the lowest common multiple of 326 and 332?
To find the lowest common multiple of 326 and 332, we have to get the multip;es of both numbers and identify the least common multiple in them which is 54116.
3. What are the Factors of 326?
Answer: Factors of 326 are 1, 2, 163, 326. There are 4 integers that are factors of 326. The greatest factor of 326 is 326.
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 326 and 332?Answer:
Least Common Multiple of 326 and 332 = 54116
Step 1: Find the prime factorization of 326
326 = 2 x 163
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 = 54116 = 2 x 2 x 83 x 163
Step 4: Therefore, the least common multiple of 326 and 332 is 54116.