Given Numbers are 166, 172

We can find the LCM of 166, 172 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 166 and 172

Multiples of 166 =166,332,498,664,830,996,1162,1328,1494,1660,1826,1992,2158,2324,2490,2656,2822,

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

Now, get the least common multiple of 166, 172 which is 14276

So, the LCM of 166, 172 is 14276.

One method for determining the LCM of 166 and 172 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 166's prime factorization:

Prime factors of 166 are 2,83.

166 = 2¹×83¹

And this is 172's prime factorization:

Prime factors of 172 are 2,43.

172 = 2²×43¹

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: 2,83,43

2²×43¹×83¹ = 14276

This shows that the LCM of 166 and 172 is 14276.

The first step in determining the Least Common Multiple of 166 and 172 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 166 and 172:

Lets look at the first ten multiples of these numbers, 166 and 172:

166,332,498,664,830,996,1162,1328,1494,2822 are the first ten multiples of 166.

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

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 166 and 172, for example, are 1992, 2822, and 2752. 14276 is the least common multiple since it is the smallest.

166 and 172 have an LCM of 14276.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 166 and 172, than apply into the LCM equation.

GCF(166,172) = 2
LCM(166,172) = ( 166 × 172) / 2
LCM(166,172) = 28552 / 2
LCM(166,172) = 14276

1. What is the LCM of 166 and 172?

The LCM of 166 and 172 is 14276.

2. How to find the lowest common multiple of 166 and 172?

To find the lowest common multiple of 166 and 172, we have to get the multip;es of both numbers and identify the least common multiple in them which is 14276.

3. What are the Factors of 166?

Answer: Factors of 166 are 1, 2, 83, 166. There are 4 integers that are factors of 166. The greatest factor of 166 is 166.

4. 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.

Answer:

Least Common Multiple of 166 and 172 = 14276

Step 1: Find the prime factorization of 166

166 = 2 x 83

Step 2: Find the prime factorization of 172

172 = 2 x 2 x 43

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

LCM = 14276 = 2 x 2 x 43 x 83

Step 4: Therefore, the least common multiple of 166 and 172 is 14276.