Given Numbers are 158, 166

We can find the LCM of 158, 166 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 158 and 166

Multiples of 158 =158,316,474,632,790,948,1106,1264,1422,1580,1738,1896,2054,2212,2370,2528,2686,

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

Now, get the least common multiple of 158, 166 which is 13114

So, the LCM of 158, 166 is 13114.

One method for determining the LCM of 158 and 166 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 158's prime factorization:

Prime factors of 158 are 2,79.

158 = 2¹×79¹

And this is 166's prime factorization:

Prime factors of 166 are 2,83.

166 = 2¹×83¹

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: 2,79,83

2¹×79¹×83¹ = 13114

This shows that the LCM of 158 and 166 is 13114.

The first step in determining the Least Common Multiple of 158 and 166 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 158 and 166:

Lets look at the first ten multiples of these numbers, 158 and 166:

158,316,474,632,790,948,1106,1264,1422,2686 are the first ten multiples of 158.

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

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 158 and 166, for example, are 1896, 2686, and 2656. 13114 is the least common multiple since it is the smallest.

158 and 166 have an LCM of 13114.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 158 and 166, than apply into the LCM equation.

GCF(158,166) = 2
LCM(158,166) = ( 158 × 166) / 2
LCM(158,166) = 26228 / 2
LCM(158,166) = 13114

1. What is the LCM of 158 and 166?

The LCM of 158 and 166 is 13114.

2. How to find the lowest common multiple of 158 and 166?

To find the lowest common multiple of 158 and 166, we have to get the multip;es of both numbers and identify the least common multiple in them which is 13114.

3. What are the Factors of 158?

Answer: Factors of 158 are 1, 2, 79, 158. There are 4 integers that are factors of 158. The greatest factor of 158 is 158.

4. 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.

Answer:

Least Common Multiple of 158 and 166 = 13114

Step 1: Find the prime factorization of 158

158 = 2 x 79

Step 2: Find the prime factorization of 166

166 = 2 x 83

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

LCM = 13114 = 2 x 79 x 83

Step 4: Therefore, the least common multiple of 158 and 166 is 13114.