Given Numbers are 159, 166

We can find the LCM of 159, 166 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 159 and 166

Multiples of 159 =159,318,477,636,795,954,1113,1272,1431,1590,1749,1908,2067,2226,2385,2544,2703,

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 159, 166 which is 26394

So, the LCM of 159, 166 is 26394.

One method for determining the LCM of 159 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 159's prime factorization:

Prime factors of 159 are 3,53.

159 = 3¹×53¹

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: 3,53, 2,83

2¹×3¹×53¹×83¹ = 26394

This shows that the LCM of 159 and 166 is 26394.

The first step in determining the Least Common Multiple of 159 and 166 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 159 and 166:

Lets look at the first ten multiples of these numbers, 159 and 166:

159,318,477,636,795,954,1113,1272,1431,2703 are the first ten multiples of 159.

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 159 and 166, for example, are 1908, 2703, and 2656. 26394 is the least common multiple since it is the smallest.

159 and 166 have an LCM of 26394.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 159 and 166, than apply into the LCM equation.

GCF(159,166) = 1
LCM(159,166) = ( 159 × 166) / 1
LCM(159,166) = 26394 / 1
LCM(159,166) = 26394

1. What is the LCM of 159 and 166?

The LCM of 159 and 166 is 26394.

2. How to find the lowest common multiple of 159 and 166?

To find the lowest common multiple of 159 and 166, we have to get the multip;es of both numbers and identify the least common multiple in them which is 26394.

3. What are the Factors of 159?

Answer: Factors of 159 are 1, 3, 53, 159. There are 4 integers that are factors of 159. The greatest factor of 159 is 159.

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 159 and 166 = 26394

Step 1: Find the prime factorization of 159

159 = 3 x 53

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 = 26394 = 2 x 3 x 53 x 83

Step 4: Therefore, the least common multiple of 159 and 166 is 26394.