Given Numbers are 159, 163

We can find the LCM of 159, 163 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 159 and 163

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

Multiples of 163 =163,326,489,652,815,978,1141,1304,1467,1630,1793,1956,2119,2282,2445,2608,2771,

Now, get the least common multiple of 159, 163 which is 25917

So, the LCM of 159, 163 is 25917.

One method for determining the LCM of 159 and 163 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 163's prime factorization:

Prime factors of 163 are 163.

163 = 163¹

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: 3,53,163

3¹×53¹×163¹ = 25917

This shows that the LCM of 159 and 163 is 25917.

The first step in determining the Least Common Multiple of 159 and 163 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 159 and 163:

Lets look at the first ten multiples of these numbers, 159 and 163:

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

163,326,489,652,815,978,1141,1304,1467,2771 are the first ten multiples of 163.

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 163, for example, are 1908, 2703, and 2608. 25917 is the least common multiple since it is the smallest.

159 and 163 have an LCM of 25917.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 159 and 163, than apply into the LCM equation.

GCF(159,163) = 1
LCM(159,163) = ( 159 × 163) / 1
LCM(159,163) = 25917 / 1
LCM(159,163) = 25917

1. What is the LCM of 159 and 163?

The LCM of 159 and 163 is 25917.

2. How to find the lowest common multiple of 159 and 163?

To find the lowest common multiple of 159 and 163, we have to get the multip;es of both numbers and identify the least common multiple in them which is 25917.

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 163?

Answer: Factors of 163 are 1, 163. There are 2 integers that are factors of 163. The greatest factor of 163 is 163.

Answer:

Least Common Multiple of 159 and 163 = 25917

Step 1: Find the prime factorization of 159

159 = 3 x 53

Step 2: Find the prime factorization of 163

163 = 163

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

LCM = 25917 = 3 x 53 x 163

Step 4: Therefore, the least common multiple of 159 and 163 is 25917.