LCM of 325 and 332
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 325 and 332 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 107900 as output. Here you can check the answer for Find the LCM of 325 and 332.
What is LCM of 325 and 332
Given Numbers are 325, 332
We can find the LCM of 325, 332 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 325 and 332
Multiples of 325 =325,650,975,1300,1625,1950,2275,2600,2925,3250,3575,3900,4225,4550,4875,5200,5525,
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 325, 332 which is 107900
So, the LCM of 325, 332 is 107900.
Least Common Multiple (LCM) of 325 and 332 with the help of Prime Factorisation
One method for determining the LCM of 325 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 325's prime factorization:
| 5 | 325 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 325 are 5,13.
325 = 52×131
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: 5,13, 2,83
.22×52×131×831 = 107900
This shows that the LCM of 325 and 332 is 107900.
How to Calculate the LCM of 325 and 332 Using Common Multiples
The first step in determining the Least Common Multiple of 325 and 332 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 325 and 332:
Lets look at the first ten multiples of these numbers, 325 and 332:
325,650,975,1300,1625,1950,2275,2600,2925,5525 are the first ten multiples of 325.
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 325 and 332, for example, are 3900, 5525, and 5312. 107900 is the least common multiple since it is the smallest.
325 and 332 have an LCM of 107900.
Least Common Multiple of 325 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 325 and 332, than apply into the LCM equation.
GCF(325,332) = 1
LCM(325,332) = ( 325 × 332) / 1
LCM(325,332) = 107900 / 1
LCM(325,332) = 107900
Related Least Common Multiples of 325
Related Least Common Multiples of 332
Frequently Asked Questions on LCM of 325 and 332
1. What is the LCM of 325 and 332?
The LCM of 325 and 332 is 107900.
2. How to find the lowest common multiple of 325 and 332?
To find the lowest common multiple of 325 and 332, we have to get the multip;es of both numbers and identify the least common multiple in them which is 107900.
3. What are the Factors of 325?
Answer: Factors of 325 are 1, 5, 13, 25, 65, 325. There are 6 integers that are factors of 325. The greatest factor of 325 is 325.
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 325 and 332?Answer:
Least Common Multiple of 325 and 332 = 107900
Step 1: Find the prime factorization of 325
325 = 5 x 5 x 13
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 = 107900 = 2 x 2 x 5 x 5 x 13 x 83
Step 4: Therefore, the least common multiple of 325 and 332 is 107900.