Given Numbers are 173, 177

We can find the LCM of 173, 177 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 173 and 177

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

Multiples of 177 =177,354,531,708,885,1062,1239,1416,1593,1770,1947,2124,2301,2478,2655,2832,3009,

Now, get the least common multiple of 173, 177 which is 30621

So, the LCM of 173, 177 is 30621.

One method for determining the LCM of 173 and 177 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 177's prime factorization:

Prime factors of 177 are 3,59.

177 = 3¹×59¹

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, 3,59

3¹×59¹×173¹ = 30621

This shows that the LCM of 173 and 177 is 30621.

The first step in determining the Least Common Multiple of 173 and 177 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 173 and 177:

Lets look at the first ten multiples of these numbers, 173 and 177:

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

177,354,531,708,885,1062,1239,1416,1593,3009 are the first ten multiples of 177.

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 177, for example, are 2076, 2941, and 2832. 30621 is the least common multiple since it is the smallest.

173 and 177 have an LCM of 30621.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 173 and 177, than apply into the LCM equation.

GCF(173,177) = 1
LCM(173,177) = ( 173 × 177) / 1
LCM(173,177) = 30621 / 1
LCM(173,177) = 30621

1. What is the LCM of 173 and 177?

The LCM of 173 and 177 is 30621.

2. How to find the lowest common multiple of 173 and 177?

To find the lowest common multiple of 173 and 177, we have to get the multip;es of both numbers and identify the least common multiple in them which is 30621.

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 177?

Answer: Factors of 177 are 1, 3, 59, 177. There are 4 integers that are factors of 177. The greatest factor of 177 is 177.

Answer:

Least Common Multiple of 173 and 177 = 30621

Step 1: Find the prime factorization of 173

173 = 173

Step 2: Find the prime factorization of 177

177 = 3 x 59

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

LCM = 30621 = 3 x 59 x 173

Step 4: Therefore, the least common multiple of 173 and 177 is 30621.