Given Numbers are 319, 323

We can find the LCM of 319, 323 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 319 and 323

Multiples of 319 =319,638,957,1276,1595,1914,2233,2552,2871,3190,3509,3828,4147,4466,4785,5104,5423,

Multiples of 323 =323,646,969,1292,1615,1938,2261,2584,2907,3230,3553,3876,4199,4522,4845,5168,5491,

Now, get the least common multiple of 319, 323 which is 103037

So, the LCM of 319, 323 is 103037.

One method for determining the LCM of 319 and 323 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:

Prime factors of 319 are 11,29.

319 = 11¹×29¹

And this is 323's prime factorization:

Prime factors of 323 are 17,19.

323 = 17¹×19¹

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, 17,19

11¹×17¹×19¹×29¹ = 103037

This shows that the LCM of 319 and 323 is 103037.

The first step in determining the Least Common Multiple of 319 and 323 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 319 and 323:

Lets look at the first ten multiples of these numbers, 319 and 323:

319,638,957,1276,1595,1914,2233,2552,2871,5423 are the first ten multiples of 319.

323,646,969,1292,1615,1938,2261,2584,2907,5491 are the first ten multiples of 323.

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 323, for example, are 3828, 5423, and 5168. 103037 is the least common multiple since it is the smallest.

319 and 323 have an LCM of 103037.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 319 and 323, than apply into the LCM equation.

GCF(319,323) = 1
LCM(319,323) = ( 319 × 323) / 1
LCM(319,323) = 103037 / 1
LCM(319,323) = 103037

1. What is the LCM of 319 and 323?

The LCM of 319 and 323 is 103037.

2. How to find the lowest common multiple of 319 and 323?

To find the lowest common multiple of 319 and 323, we have to get the multip;es of both numbers and identify the least common multiple in them which is 103037.

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 323?

Answer: Factors of 323 are 1, 17, 19, 323. There are 4 integers that are factors of 323. The greatest factor of 323 is 323.

Answer:

Least Common Multiple of 319 and 323 = 103037

Step 1: Find the prime factorization of 319

319 = 11 x 29

Step 2: Find the prime factorization of 323

323 = 17 x 19

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 103037 = 11 x 17 x 19 x 29

Step 4: Therefore, the least common multiple of 319 and 323 is 103037.