Given Numbers are 20156, 20161

We can find the LCM of 20156, 20161 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 20156 and 20161

Multiples of 20156 =20156,40312,60468,80624,100780,120936,141092,161248,181404,201560,221716,241872,262028,282184,302340,322496,342652,

Multiples of 20161 =20161,40322,60483,80644,100805,120966,141127,161288,181449,201610,221771,241932,262093,282254,302415,322576,342737,

Now, get the least common multiple of 20156, 20161 which is 406365116

So, the LCM of 20156, 20161 is 406365116.

One method for determining the LCM of 20156 and 20161 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 20156's prime factorization:

Prime factors of 20156 are 2,5039.

20156 = 2²×5039¹

And this is 20161's prime factorization:

Prime factors of 20161 are 20161.

20161 = 20161¹

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: 2,5039,20161

2²×5039¹×20161¹ = 406365116

This shows that the LCM of 20156 and 20161 is 406365116.

The first step in determining the Least Common Multiple of 20156 and 20161 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 20156 and 20161:

Lets look at the first ten multiples of these numbers, 20156 and 20161:

20156,40312,60468,80624,100780,120936,141092,161248,181404,342652 are the first ten multiples of 20156.

20161,40322,60483,80644,100805,120966,141127,161288,181449,342737 are the first ten multiples of 20161.

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 20156 and 20161, for example, are 241872, 342652, and 322576. 406365116 is the least common multiple since it is the smallest.

20156 and 20161 have an LCM of 406365116.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20156 and 20161, than apply into the LCM equation.

GCF(20156,20161) = 1
LCM(20156,20161) = ( 20156 × 20161) / 1
LCM(20156,20161) = 406365116 / 1
LCM(20156,20161) = 406365116

1. What is the LCM of 20156 and 20161?

The LCM of 20156 and 20161 is 406365116.

2. How to find the lowest common multiple of 20156 and 20161?

To find the lowest common multiple of 20156 and 20161, we have to get the multip;es of both numbers and identify the least common multiple in them which is 406365116.

3. What are the Factors of 20156?

Answer: Factors of 20156 are 1, 2, 4, 5039, 10078, 20156. There are 6 integers that are factors of 20156. The greatest factor of 20156 is 20156.

4. What are the Factors of 20161?

Answer: Factors of 20161 are 1, 20161. There are 2 integers that are factors of 20161. The greatest factor of 20161 is 20161.

Answer:

Least Common Multiple of 20156 and 20161 = 406365116

Step 1: Find the prime factorization of 20156

20156 = 2 x 2 x 5039

Step 2: Find the prime factorization of 20161

20161 = 20161

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

LCM = 406365116 = 2 x 2 x 5039 x 20161

Step 4: Therefore, the least common multiple of 20156 and 20161 is 406365116.