Given Numbers are 173, 178

We can find the LCM of 173, 178 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 173 and 178

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

Multiples of 178 =178,356,534,712,890,1068,1246,1424,1602,1780,1958,2136,2314,2492,2670,2848,3026,

Now, get the least common multiple of 173, 178 which is 30794

So, the LCM of 173, 178 is 30794.

One method for determining the LCM of 173 and 178 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 173's prime factorization:

Prime factors of 173 are 173.

173 = 173¹

And this is 178's prime factorization:

Prime factors of 178 are 2,89.

178 = 2¹×89¹

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:173, 2,89

2¹×89¹×173¹ = 30794

This shows that the LCM of 173 and 178 is 30794.

The first step in determining the Least Common Multiple of 173 and 178 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 173 and 178:

Lets look at the first ten multiples of these numbers, 173 and 178:

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

178,356,534,712,890,1068,1246,1424,1602,3026 are the first ten multiples of 178.

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 173 and 178, for example, are 2076, 2941, and 2848. 30794 is the least common multiple since it is the smallest.

173 and 178 have an LCM of 30794.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 173 and 178, than apply into the LCM equation.

GCF(173,178) = 1
LCM(173,178) = ( 173 × 178) / 1
LCM(173,178) = 30794 / 1
LCM(173,178) = 30794

1. What is the LCM of 173 and 178?

The LCM of 173 and 178 is 30794.

2. How to find the lowest common multiple of 173 and 178?

To find the lowest common multiple of 173 and 178, we have to get the multip;es of both numbers and identify the least common multiple in them which is 30794.

3. 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.

4. What are the Factors of 178?

Answer: Factors of 178 are 1, 2, 89, 178. There are 4 integers that are factors of 178. The greatest factor of 178 is 178.

Answer:

Least Common Multiple of 173 and 178 = 30794

Step 1: Find the prime factorization of 173

173 = 173

Step 2: Find the prime factorization of 178

178 = 2 x 89

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

LCM = 30794 = 2 x 89 x 173

Step 4: Therefore, the least common multiple of 173 and 178 is 30794.