Given Numbers are 20161, 20169

We can find the LCM of 20161, 20169 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 20161 and 20169

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

Multiples of 20169 =20169,40338,60507,80676,100845,121014,141183,161352,181521,201690,221859,242028,262197,282366,302535,322704,342873,

Now, get the least common multiple of 20161, 20169 which is 406627209

So, the LCM of 20161, 20169 is 406627209.

One method for determining the LCM of 20161 and 20169 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 20169's prime factorization:

Prime factors of 20169 are 3,83.

20169 = 3⁵×83¹

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:20161, 3,83

3⁵×83¹×20161¹ = 406627209

This shows that the LCM of 20161 and 20169 is 406627209.

The first step in determining the Least Common Multiple of 20161 and 20169 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 20161 and 20169:

Lets look at the first ten multiples of these numbers, 20161 and 20169:

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

20169,40338,60507,80676,100845,121014,141183,161352,181521,342873 are the first ten multiples of 20169.

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 20169, for example, are 241932, 342737, and 322704. 406627209 is the least common multiple since it is the smallest.

20161 and 20169 have an LCM of 406627209.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20161 and 20169, than apply into the LCM equation.

GCF(20161,20169) = 1
LCM(20161,20169) = ( 20161 × 20169) / 1
LCM(20161,20169) = 406627209 / 1
LCM(20161,20169) = 406627209

1. What is the LCM of 20161 and 20169?

The LCM of 20161 and 20169 is 406627209.

2. How to find the lowest common multiple of 20161 and 20169?

To find the lowest common multiple of 20161 and 20169, we have to get the multip;es of both numbers and identify the least common multiple in them which is 406627209.

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 20169?

Answer: Factors of 20169 are 1, 3, 9, 27, 81, 83, 243, 249, 747, 2241, 6723, 20169. There are 12 integers that are factors of 20169. The greatest factor of 20169 is 20169.

Answer:

Least Common Multiple of 20161 and 20169 = 406627209

Step 1: Find the prime factorization of 20161

20161 = 20161

Step 2: Find the prime factorization of 20169

20169 = 3 x 3 x 3 x 3 x 3 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 = 406627209 = 3 x 3 x 3 x 3 x 3 x 83 x 20161

Step 4: Therefore, the least common multiple of 20161 and 20169 is 406627209.