Given Numbers are 169, 173

We can find the LCM of 169, 173 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 169 and 173

Multiples of 169 =169,338,507,676,845,1014,1183,1352,1521,1690,1859,2028,2197,2366,2535,2704,2873,

Multiples of 173 =173,346,519,692,865,1038,1211,1384,1557,1730,1903,2076,2249,2422,2595,2768,2941,

Now, get the least common multiple of 169, 173 which is 29237

So, the LCM of 169, 173 is 29237.

One method for determining the LCM of 169 and 173 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 169's prime factorization:

Prime factors of 169 are 13.

169 = 13²

And this is 173's prime factorization:

Prime factors of 173 are 173.

173 = 173¹

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:13,173

13²×173¹ = 29237

This shows that the LCM of 169 and 173 is 29237.

The first step in determining the Least Common Multiple of 169 and 173 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 169 and 173:

Lets look at the first ten multiples of these numbers, 169 and 173:

169,338,507,676,845,1014,1183,1352,1521,2873 are the first ten multiples of 169.

173,346,519,692,865,1038,1211,1384,1557,2941 are the first ten multiples of 173.

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 169 and 173, for example, are 2028, 2873, and 2768. 29237 is the least common multiple since it is the smallest.

169 and 173 have an LCM of 29237.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 169 and 173, than apply into the LCM equation.

GCF(169,173) = 1
LCM(169,173) = ( 169 × 173) / 1
LCM(169,173) = 29237 / 1
LCM(169,173) = 29237

1. What is the LCM of 169 and 173?

The LCM of 169 and 173 is 29237.

2. How to find the lowest common multiple of 169 and 173?

To find the lowest common multiple of 169 and 173, we have to get the multip;es of both numbers and identify the least common multiple in them which is 29237.

3. What are the Factors of 169?

Answer: Factors of 169 are 1, 13, 169. There are 3 integers that are factors of 169. The greatest factor of 169 is 169.

4. What are the Factors of 173?

Answer: Factors of 173 are 1, 173. There are 2 integers that are factors of 173. The greatest factor of 173 is 173.

Answer:

Least Common Multiple of 169 and 173 = 29237

Step 1: Find the prime factorization of 169

169 = 13 x 13

Step 2: Find the prime factorization of 173

173 = 173

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

LCM = 29237 = 13 x 13 x 173

Step 4: Therefore, the least common multiple of 169 and 173 is 29237.