Given Numbers are 172, 179

We can find the LCM of 172, 179 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 172 and 179

Multiples of 172 =172,344,516,688,860,1032,1204,1376,1548,1720,1892,2064,2236,2408,2580,2752,2924,

Multiples of 179 =179,358,537,716,895,1074,1253,1432,1611,1790,1969,2148,2327,2506,2685,2864,3043,

Now, get the least common multiple of 172, 179 which is 30788

So, the LCM of 172, 179 is 30788.

One method for determining the LCM of 172 and 179 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 172's prime factorization:

Prime factors of 172 are 2,43.

172 = 2²×43¹

And this is 179's prime factorization:

Prime factors of 179 are 179.

179 = 179¹

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: 2,43,179

2²×43¹×179¹ = 30788

This shows that the LCM of 172 and 179 is 30788.

The first step in determining the Least Common Multiple of 172 and 179 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 172 and 179:

Lets look at the first ten multiples of these numbers, 172 and 179:

172,344,516,688,860,1032,1204,1376,1548,2924 are the first ten multiples of 172.

179,358,537,716,895,1074,1253,1432,1611,3043 are the first ten multiples of 179.

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 172 and 179, for example, are 2064, 2924, and 2864. 30788 is the least common multiple since it is the smallest.

172 and 179 have an LCM of 30788.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 172 and 179, than apply into the LCM equation.

GCF(172,179) = 1
LCM(172,179) = ( 172 × 179) / 1
LCM(172,179) = 30788 / 1
LCM(172,179) = 30788

1. What is the LCM of 172 and 179?

The LCM of 172 and 179 is 30788.

2. How to find the lowest common multiple of 172 and 179?

To find the lowest common multiple of 172 and 179, we have to get the multip;es of both numbers and identify the least common multiple in them which is 30788.

3. What are the Factors of 172?

Answer: Factors of 172 are 1, 2, 4, 43, 86, 172. There are 6 integers that are factors of 172. The greatest factor of 172 is 172.

4. What are the Factors of 179?

Answer: Factors of 179 are 1, 179. There are 2 integers that are factors of 179. The greatest factor of 179 is 179.

Answer:

Least Common Multiple of 172 and 179 = 30788

Step 1: Find the prime factorization of 172

172 = 2 x 2 x 43

Step 2: Find the prime factorization of 179

179 = 179

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

LCM = 30788 = 2 x 2 x 43 x 179

Step 4: Therefore, the least common multiple of 172 and 179 is 30788.