LCM of 321 and 325
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 321 and 325 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 104325 as output. Here you can check the answer for Find the LCM of 321 and 325.
What is LCM of 321 and 325
Given Numbers are 321, 325
We can find the LCM of 321, 325 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 321 and 325
Multiples of 321 =321,642,963,1284,1605,1926,2247,2568,2889,3210,3531,3852,4173,4494,4815,5136,5457,
Multiples of 325 =325,650,975,1300,1625,1950,2275,2600,2925,3250,3575,3900,4225,4550,4875,5200,5525,
Now, get the least common multiple of 321, 325 which is 104325
So, the LCM of 321, 325 is 104325.
Least Common Multiple (LCM) of 321 and 325 with the help of Prime Factorisation
One method for determining the LCM of 321 and 325 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 321's prime factorization:
| 3 | 321 |
| 107 | 107 |
| 1 |
Prime factors of 321 are 3,107.
321 = 31×1071
And this is 325's prime factorization:
| 5 | 325 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 325 are 5,13.
325 = 52×131
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: 3,107, 5,13
.31×52×131×1071 = 104325
This shows that the LCM of 321 and 325 is 104325.
How to Calculate the LCM of 321 and 325 Using Common Multiples
The first step in determining the Least Common Multiple of 321 and 325 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 321 and 325:
Lets look at the first ten multiples of these numbers, 321 and 325:
321,642,963,1284,1605,1926,2247,2568,2889,5457 are the first ten multiples of 321.
325,650,975,1300,1625,1950,2275,2600,2925,5525 are the first ten multiples of 325.
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 321 and 325, for example, are 3852, 5457, and 5200. 104325 is the least common multiple since it is the smallest.
321 and 325 have an LCM of 104325.
Least Common Multiple of 321 and 325 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321 and 325, than apply into the LCM equation.
GCF(321,325) = 1
LCM(321,325) = ( 321 × 325) / 1
LCM(321,325) = 104325 / 1
LCM(321,325) = 104325
Related Least Common Multiples of 321
Related Least Common Multiples of 325
Frequently Asked Questions on LCM of 321 and 325
1. What is the LCM of 321 and 325?
The LCM of 321 and 325 is 104325.
2. How to find the lowest common multiple of 321 and 325?
To find the lowest common multiple of 321 and 325, we have to get the multip;es of both numbers and identify the least common multiple in them which is 104325.
3. What are the Factors of 321?
Answer: Factors of 321 are 1, 3, 107, 321. There are 4 integers that are factors of 321. The greatest factor of 321 is 321.
4. 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.
5. How to Find the LCM of 321 and 325?Answer:
Least Common Multiple of 321 and 325 = 104325
Step 1: Find the prime factorization of 321
321 = 3 x 107
Step 2: Find the prime factorization of 325
325 = 5 x 5 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 104325 = 3 x 5 x 5 x 13 x 107
Step 4: Therefore, the least common multiple of 321 and 325 is 104325.