Given Numbers are 20161, 20167

We can find the LCM of 20161, 20167 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 20161 and 20167

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

Multiples of 20167 =20167,40334,60501,80668,100835,121002,141169,161336,181503,201670,221837,242004,262171,282338,302505,322672,342839,

Now, get the least common multiple of 20161, 20167 which is 406586887

So, the LCM of 20161, 20167 is 406586887.

One method for determining the LCM of 20161 and 20167 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 20167's prime factorization:

Prime factors of 20167 are 7, 43,67.

20167 = 7¹×43¹×67¹

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, 7, 43,67

7¹×43¹×67¹×20161¹ = 406586887

This shows that the LCM of 20161 and 20167 is 406586887.

The first step in determining the Least Common Multiple of 20161 and 20167 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 20161 and 20167:

Lets look at the first ten multiples of these numbers, 20161 and 20167:

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

20167,40334,60501,80668,100835,121002,141169,161336,181503,342839 are the first ten multiples of 20167.

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 20167, for example, are 241932, 342737, and 322672. 406586887 is the least common multiple since it is the smallest.

20161 and 20167 have an LCM of 406586887.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20161 and 20167, than apply into the LCM equation.

GCF(20161,20167) = 1
LCM(20161,20167) = ( 20161 × 20167) / 1
LCM(20161,20167) = 406586887 / 1
LCM(20161,20167) = 406586887

1. What is the LCM of 20161 and 20167?

The LCM of 20161 and 20167 is 406586887.

2. How to find the lowest common multiple of 20161 and 20167?

To find the lowest common multiple of 20161 and 20167, we have to get the multip;es of both numbers and identify the least common multiple in them which is 406586887.

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 20167?

Answer: Factors of 20167 are 1, 7, 43, 67, 301, 469, 2881, 20167. There are 8 integers that are factors of 20167. The greatest factor of 20167 is 20167.

Answer:

Least Common Multiple of 20161 and 20167 = 406586887

Step 1: Find the prime factorization of 20161

20161 = 20161

Step 2: Find the prime factorization of 20167

20167 = 7 x 43 x 67

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

LCM = 406586887 = 7 x 43 x 67 x 20161

Step 4: Therefore, the least common multiple of 20161 and 20167 is 406586887.