LCM of 319 and 325
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 319 and 325 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 103675 as output. Here you can check the answer for Find the LCM of 319 and 325.
What is LCM of 319 and 325
Given Numbers are 319, 325
We can find the LCM of 319, 325 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 319 and 325
Multiples of 319 =319,638,957,1276,1595,1914,2233,2552,2871,3190,3509,3828,4147,4466,4785,5104,5423,
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 319, 325 which is 103675
So, the LCM of 319, 325 is 103675.
Least Common Multiple (LCM) of 319 and 325 with the help of Prime Factorisation
One method for determining the LCM of 319 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 319's prime factorization:
| 11 | 319 |
| 29 | 29 |
| 1 |
Prime factors of 319 are 11,29.
319 = 111×291
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: 11,29, 5,13
.52×111×131×291 = 103675
This shows that the LCM of 319 and 325 is 103675.
How to Calculate the LCM of 319 and 325 Using Common Multiples
The first step in determining the Least Common Multiple of 319 and 325 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 319 and 325:
Lets look at the first ten multiples of these numbers, 319 and 325:
319,638,957,1276,1595,1914,2233,2552,2871,5423 are the first ten multiples of 319.
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 319 and 325, for example, are 3828, 5423, and 5200. 103675 is the least common multiple since it is the smallest.
319 and 325 have an LCM of 103675.
Least Common Multiple of 319 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 319 and 325, than apply into the LCM equation.
GCF(319,325) = 1
LCM(319,325) = ( 319 × 325) / 1
LCM(319,325) = 103675 / 1
LCM(319,325) = 103675
Related Least Common Multiples of 319
Related Least Common Multiples of 325
Frequently Asked Questions on LCM of 319 and 325
1. What is the LCM of 319 and 325?
The LCM of 319 and 325 is 103675.
2. How to find the lowest common multiple of 319 and 325?
To find the lowest common multiple of 319 and 325, we have to get the multip;es of both numbers and identify the least common multiple in them which is 103675.
3. What are the Factors of 319?
Answer: Factors of 319 are 1, 11, 29, 319. There are 4 integers that are factors of 319. The greatest factor of 319 is 319.
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 319 and 325?Answer:
Least Common Multiple of 319 and 325 = 103675
Step 1: Find the prime factorization of 319
319 = 11 x 29
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 = 103675 = 5 x 5 x 11 x 13 x 29
Step 4: Therefore, the least common multiple of 319 and 325 is 103675.