Given Numbers are 175, 181

We can find the LCM of 175, 181 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 175 and 181

Multiples of 175 =175,350,525,700,875,1050,1225,1400,1575,1750,1925,2100,2275,2450,2625,2800,2975,

Multiples of 181 =181,362,543,724,905,1086,1267,1448,1629,1810,1991,2172,2353,2534,2715,2896,3077,

Now, get the least common multiple of 175, 181 which is 31675

So, the LCM of 175, 181 is 31675.

One method for determining the LCM of 175 and 181 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 175's prime factorization:

Prime factors of 175 are 5,7.

175 = 5²×7¹

And this is 181's prime factorization:

Prime factors of 181 are 181.

181 = 181¹

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: 5,7,181

5²×7¹×181¹ = 31675

This shows that the LCM of 175 and 181 is 31675.

The first step in determining the Least Common Multiple of 175 and 181 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 175 and 181:

Lets look at the first ten multiples of these numbers, 175 and 181:

175,350,525,700,875,1050,1225,1400,1575,2975 are the first ten multiples of 175.

181,362,543,724,905,1086,1267,1448,1629,3077 are the first ten multiples of 181.

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 175 and 181, for example, are 2100, 2975, and 2896. 31675 is the least common multiple since it is the smallest.

175 and 181 have an LCM of 31675.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 175 and 181, than apply into the LCM equation.

GCF(175,181) = 1
LCM(175,181) = ( 175 × 181) / 1
LCM(175,181) = 31675 / 1
LCM(175,181) = 31675

1. What is the LCM of 175 and 181?

The LCM of 175 and 181 is 31675.

2. How to find the lowest common multiple of 175 and 181?

To find the lowest common multiple of 175 and 181, we have to get the multip;es of both numbers and identify the least common multiple in them which is 31675.

3. What are the Factors of 175?

Answer: Factors of 175 are 1, 5, 7, 25, 35, 175. There are 6 integers that are factors of 175. The greatest factor of 175 is 175.

4. What are the Factors of 181?

Answer: Factors of 181 are 1, 181. There are 2 integers that are factors of 181. The greatest factor of 181 is 181.

Answer:

Least Common Multiple of 175 and 181 = 31675

Step 1: Find the prime factorization of 175

175 = 5 x 5 x 7

Step 2: Find the prime factorization of 181

181 = 181

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

LCM = 31675 = 5 x 5 x 7 x 181

Step 4: Therefore, the least common multiple of 175 and 181 is 31675.