Given Numbers are 20156, 20163

We can find the LCM of 20156, 20163 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 20156 and 20163

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

Multiples of 20163 =20163,40326,60489,80652,100815,120978,141141,161304,181467,201630,221793,241956,262119,282282,302445,322608,342771,

Now, get the least common multiple of 20156, 20163 which is 406405428

So, the LCM of 20156, 20163 is 406405428.

One method for determining the LCM of 20156 and 20163 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 20163's prime factorization:

Prime factors of 20163 are 3, 11, 13,47.

20163 = 3¹×11¹×13¹×47¹

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, 3, 11, 13,47

2²×3¹×11¹×13¹×47¹×5039¹ = 406405428

This shows that the LCM of 20156 and 20163 is 406405428.

The first step in determining the Least Common Multiple of 20156 and 20163 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 20156 and 20163:

Lets look at the first ten multiples of these numbers, 20156 and 20163:

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

20163,40326,60489,80652,100815,120978,141141,161304,181467,342771 are the first ten multiples of 20163.

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 20163, for example, are 241872, 342652, and 322608. 406405428 is the least common multiple since it is the smallest.

20156 and 20163 have an LCM of 406405428.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20156 and 20163, than apply into the LCM equation.

GCF(20156,20163) = 1
LCM(20156,20163) = ( 20156 × 20163) / 1
LCM(20156,20163) = 406405428 / 1
LCM(20156,20163) = 406405428

1. What is the LCM of 20156 and 20163?

The LCM of 20156 and 20163 is 406405428.

2. How to find the lowest common multiple of 20156 and 20163?

To find the lowest common multiple of 20156 and 20163, we have to get the multip;es of both numbers and identify the least common multiple in them which is 406405428.

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 20163?

Answer: Factors of 20163 are 1, 3, 11, 13, 33, 39, 47, 141, 143, 429, 517, 611, 1551, 1833, 6721, 20163. There are 16 integers that are factors of 20163. The greatest factor of 20163 is 20163.

Answer:

Least Common Multiple of 20156 and 20163 = 406405428

Step 1: Find the prime factorization of 20156

20156 = 2 x 2 x 5039

Step 2: Find the prime factorization of 20163

20163 = 3 x 11 x 13 x 47

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

LCM = 406405428 = 2 x 2 x 3 x 11 x 13 x 47 x 5039

Step 4: Therefore, the least common multiple of 20156 and 20163 is 406405428.