Given Numbers are 329, 337

We can find the LCM of 329, 337 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 329 and 337

Multiples of 329 =329,658,987,1316,1645,1974,2303,2632,2961,3290,3619,3948,4277,4606,4935,5264,5593,

Multiples of 337 =337,674,1011,1348,1685,2022,2359,2696,3033,3370,3707,4044,4381,4718,5055,5392,5729,

Now, get the least common multiple of 329, 337 which is 110873

So, the LCM of 329, 337 is 110873.

One method for determining the LCM of 329 and 337 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 329's prime factorization:

Prime factors of 329 are 7,47.

329 = 7¹×47¹

And this is 337's prime factorization:

Prime factors of 337 are 337.

337 = 337¹

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: 7,47,337

7¹×47¹×337¹ = 110873

This shows that the LCM of 329 and 337 is 110873.

The first step in determining the Least Common Multiple of 329 and 337 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 329 and 337:

Lets look at the first ten multiples of these numbers, 329 and 337:

329,658,987,1316,1645,1974,2303,2632,2961,5593 are the first ten multiples of 329.

337,674,1011,1348,1685,2022,2359,2696,3033,5729 are the first ten multiples of 337.

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 329 and 337, for example, are 3948, 5593, and 5392. 110873 is the least common multiple since it is the smallest.

329 and 337 have an LCM of 110873.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 329 and 337, than apply into the LCM equation.

GCF(329,337) = 1
LCM(329,337) = ( 329 × 337) / 1
LCM(329,337) = 110873 / 1
LCM(329,337) = 110873

1. What is the LCM of 329 and 337?

The LCM of 329 and 337 is 110873.

2. How to find the lowest common multiple of 329 and 337?

To find the lowest common multiple of 329 and 337, we have to get the multip;es of both numbers and identify the least common multiple in them which is 110873.

3. What are the Factors of 329?

Answer: Factors of 329 are 1, 7, 47, 329. There are 4 integers that are factors of 329. The greatest factor of 329 is 329.

4. What are the Factors of 337?

Answer: Factors of 337 are 1, 337. There are 2 integers that are factors of 337. The greatest factor of 337 is 337.

Answer:

Least Common Multiple of 329 and 337 = 110873

Step 1: Find the prime factorization of 329

329 = 7 x 47

Step 2: Find the prime factorization of 337

337 = 337

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

LCM = 110873 = 7 x 47 x 337

Step 4: Therefore, the least common multiple of 329 and 337 is 110873.