Given Numbers are 175, 182

We can find the LCM of 175, 182 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 175 and 182

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

Multiples of 182 =182,364,546,728,910,1092,1274,1456,1638,1820,2002,2184,2366,2548,2730,2912,3094,

Now, get the least common multiple of 175, 182 which is 4550

So, the LCM of 175, 182 is 4550.

One method for determining the LCM of 175 and 182 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 182's prime factorization:

Prime factors of 182 are 2, 7,13.

182 = 2¹×7¹×13¹

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, 2,13

2¹×5²×7¹×13¹ = 4550

This shows that the LCM of 175 and 182 is 4550.

The first step in determining the Least Common Multiple of 175 and 182 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 175 and 182:

Lets look at the first ten multiples of these numbers, 175 and 182:

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

182,364,546,728,910,1092,1274,1456,1638,3094 are the first ten multiples of 182.

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 182, for example, are 2100, 2975, and 2912. 4550 is the least common multiple since it is the smallest.

175 and 182 have an LCM of 4550.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 175 and 182, than apply into the LCM equation.

GCF(175,182) = 7
LCM(175,182) = ( 175 × 182) / 7
LCM(175,182) = 31850 / 7
LCM(175,182) = 4550

1. What is the LCM of 175 and 182?

The LCM of 175 and 182 is 4550.

2. How to find the lowest common multiple of 175 and 182?

To find the lowest common multiple of 175 and 182, we have to get the multip;es of both numbers and identify the least common multiple in them which is 4550.

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 182?

Answer: Factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182. There are 8 integers that are factors of 182. The greatest factor of 182 is 182.

Answer:

Least Common Multiple of 175 and 182 = 4550

Step 1: Find the prime factorization of 175

175 = 5 x 5 x 7

Step 2: Find the prime factorization of 182

182 = 2 x 7 x 13

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

LCM = 4550 = 2 x 5 x 5 x 7 x 13

Step 4: Therefore, the least common multiple of 175 and 182 is 4550.