Given Numbers are 171, 175

We can find the LCM of 171, 175 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 171 and 175

Multiples of 171 =171,342,513,684,855,1026,1197,1368,1539,1710,1881,2052,2223,2394,2565,2736,2907,

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

Now, get the least common multiple of 171, 175 which is 29925

So, the LCM of 171, 175 is 29925.

One method for determining the LCM of 171 and 175 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 171's prime factorization:

Prime factors of 171 are 3,19.

171 = 3²×19¹

And this is 175's prime factorization:

Prime factors of 175 are 5,7.

175 = 5²×7¹

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: 3,19, 5,7

3²×5²×7¹×19¹ = 29925

This shows that the LCM of 171 and 175 is 29925.

The first step in determining the Least Common Multiple of 171 and 175 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 171 and 175:

Lets look at the first ten multiples of these numbers, 171 and 175:

171,342,513,684,855,1026,1197,1368,1539,2907 are the first ten multiples of 171.

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

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 171 and 175, for example, are 2052, 2907, and 2800. 29925 is the least common multiple since it is the smallest.

171 and 175 have an LCM of 29925.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 171 and 175, than apply into the LCM equation.

GCF(171,175) = 1
LCM(171,175) = ( 171 × 175) / 1
LCM(171,175) = 29925 / 1
LCM(171,175) = 29925

1. What is the LCM of 171 and 175?

The LCM of 171 and 175 is 29925.

2. How to find the lowest common multiple of 171 and 175?

To find the lowest common multiple of 171 and 175, we have to get the multip;es of both numbers and identify the least common multiple in them which is 29925.

3. What are the Factors of 171?

Answer: Factors of 171 are 1, 3, 9, 19, 57, 171. There are 6 integers that are factors of 171. The greatest factor of 171 is 171.

4. 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.

Answer:

Least Common Multiple of 171 and 175 = 29925

Step 1: Find the prime factorization of 171

171 = 3 x 3 x 19

Step 2: Find the prime factorization of 175

175 = 5 x 5 x 7

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

LCM = 29925 = 3 x 3 x 5 x 5 x 7 x 19

Step 4: Therefore, the least common multiple of 171 and 175 is 29925.