LCM of 313 and 321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 313 and 321 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 100473 as output. Here you can check the answer for Find the LCM of 313 and 321.
What is LCM of 313 and 321
Given Numbers are 313, 321
We can find the LCM of 313, 321 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 313 and 321
Multiples of 313 =313,626,939,1252,1565,1878,2191,2504,2817,3130,3443,3756,4069,4382,4695,5008,5321,
Multiples of 321 =321,642,963,1284,1605,1926,2247,2568,2889,3210,3531,3852,4173,4494,4815,5136,5457,
Now, get the least common multiple of 313, 321 which is 100473
So, the LCM of 313, 321 is 100473.
Least Common Multiple (LCM) of 313 and 321 with the help of Prime Factorisation
One method for determining the LCM of 313 and 321 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 313's prime factorization:
| 313 | 313 |
| 1 |
Prime factors of 313 are 313.
313 = 3131
And this is 321's prime factorization:
| 3 | 321 |
| 107 | 107 |
| 1 |
Prime factors of 321 are 3,107.
321 = 31×1071
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:313, 3,107
.31×1071×3131 = 100473
This shows that the LCM of 313 and 321 is 100473.
How to Calculate the LCM of 313 and 321 Using Common Multiples
The first step in determining the Least Common Multiple of 313 and 321 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 313 and 321:
Lets look at the first ten multiples of these numbers, 313 and 321:
313,626,939,1252,1565,1878,2191,2504,2817,5321 are the first ten multiples of 313.
321,642,963,1284,1605,1926,2247,2568,2889,5457 are the first ten multiples of 321.
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 313 and 321, for example, are 3756, 5321, and 5136. 100473 is the least common multiple since it is the smallest.
313 and 321 have an LCM of 100473.
Least Common Multiple of 313 and 321 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313 and 321, than apply into the LCM equation.
GCF(313,321) = 1
LCM(313,321) = ( 313 × 321) / 1
LCM(313,321) = 100473 / 1
LCM(313,321) = 100473
Related Least Common Multiples of 313
Related Least Common Multiples of 321
Frequently Asked Questions on LCM of 313 and 321
1. What is the LCM of 313 and 321?
The LCM of 313 and 321 is 100473.
2. How to find the lowest common multiple of 313 and 321?
To find the lowest common multiple of 313 and 321, we have to get the multip;es of both numbers and identify the least common multiple in them which is 100473.
3. What are the Factors of 313?
Answer: Factors of 313 are 1, 313. There are 2 integers that are factors of 313. The greatest factor of 313 is 313.
4. 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.
5. How to Find the LCM of 313 and 321?Answer:
Least Common Multiple of 313 and 321 = 100473
Step 1: Find the prime factorization of 313
313 = 313
Step 2: Find the prime factorization of 321
321 = 3 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 100473 = 3 x 107 x 313
Step 4: Therefore, the least common multiple of 313 and 321 is 100473.