Given Numbers are 20161, 20166

We can find the LCM of 20161, 20166 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 20161 and 20166

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

Multiples of 20166 =20166,40332,60498,80664,100830,120996,141162,161328,181494,201660,221826,241992,262158,282324,302490,322656,342822,

Now, get the least common multiple of 20161, 20166 which is 406566726

So, the LCM of 20161, 20166 is 406566726.

One method for determining the LCM of 20161 and 20166 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 20161's prime factorization:

Prime factors of 20161 are 20161.

20161 = 20161¹

And this is 20166's prime factorization:

Prime factors of 20166 are 2, 3,3361.

20166 = 2¹×3¹×3361¹

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:20161, 2, 3,3361

2¹×3¹×3361¹×20161¹ = 406566726

This shows that the LCM of 20161 and 20166 is 406566726.

The first step in determining the Least Common Multiple of 20161 and 20166 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 20161 and 20166:

Lets look at the first ten multiples of these numbers, 20161 and 20166:

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

20166,40332,60498,80664,100830,120996,141162,161328,181494,342822 are the first ten multiples of 20166.

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 20161 and 20166, for example, are 241932, 342737, and 322656. 406566726 is the least common multiple since it is the smallest.

20161 and 20166 have an LCM of 406566726.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20161 and 20166, than apply into the LCM equation.

GCF(20161,20166) = 1
LCM(20161,20166) = ( 20161 × 20166) / 1
LCM(20161,20166) = 406566726 / 1
LCM(20161,20166) = 406566726

1. What is the LCM of 20161 and 20166?

The LCM of 20161 and 20166 is 406566726.

2. How to find the lowest common multiple of 20161 and 20166?

To find the lowest common multiple of 20161 and 20166, we have to get the multip;es of both numbers and identify the least common multiple in them which is 406566726.

3. 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.

4. What are the Factors of 20166?

Answer: Factors of 20166 are 1, 2, 3, 6, 3361, 6722, 10083, 20166. There are 8 integers that are factors of 20166. The greatest factor of 20166 is 20166.

Answer:

Least Common Multiple of 20161 and 20166 = 406566726

Step 1: Find the prime factorization of 20161

20161 = 20161

Step 2: Find the prime factorization of 20166

20166 = 2 x 3 x 3361

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

LCM = 406566726 = 2 x 3 x 3361 x 20161

Step 4: Therefore, the least common multiple of 20161 and 20166 is 406566726.