Given Numbers are 20156, 20160

We can find the LCM of 20156, 20160 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 20156 and 20160

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

Multiples of 20160 =20160,40320,60480,80640,100800,120960,141120,161280,181440,201600,221760,241920,262080,282240,302400,322560,342720,

Now, get the least common multiple of 20156, 20160 which is 101586240

So, the LCM of 20156, 20160 is 101586240.

One method for determining the LCM of 20156 and 20160 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 20160's prime factorization:

Prime factors of 20160 are 2, 3, 5,7.

20160 = 2⁶×3²×5¹×7¹

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, 5,7

2⁶×3²×5¹×7¹×5039¹ = 101586240

This shows that the LCM of 20156 and 20160 is 101586240.

The first step in determining the Least Common Multiple of 20156 and 20160 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 20156 and 20160:

Lets look at the first ten multiples of these numbers, 20156 and 20160:

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

20160,40320,60480,80640,100800,120960,141120,161280,181440,342720 are the first ten multiples of 20160.

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 20160, for example, are 241872, 342652, and 322560. 101586240 is the least common multiple since it is the smallest.

20156 and 20160 have an LCM of 101586240.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20156 and 20160, than apply into the LCM equation.

GCF(20156,20160) = 4
LCM(20156,20160) = ( 20156 × 20160) / 4
LCM(20156,20160) = 406344960 / 4
LCM(20156,20160) = 101586240

1. What is the LCM of 20156 and 20160?

The LCM of 20156 and 20160 is 101586240.

2. How to find the lowest common multiple of 20156 and 20160?

To find the lowest common multiple of 20156 and 20160, we have to get the multip;es of both numbers and identify the least common multiple in them which is 101586240.

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 20160?

Answer: Factors of 20160 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 64, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 192, 210, 224, 240, 252, 280, 288, 315, 320, 336, 360, 420, 448, 480, 504, 560, 576, 630, 672, 720, 840, 960, 1008, 1120, 1260, 1344, 1440, 1680, 2016, 2240, 2520, 2880, 3360, 4032, 5040, 6720, 10080, 20160. There are 84 integers that are factors of 20160. The greatest factor of 20160 is 20160.

Answer:

Least Common Multiple of 20156 and 20160 = 101586240

Step 1: Find the prime factorization of 20156

20156 = 2 x 2 x 5039

Step 2: Find the prime factorization of 20160

20160 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7

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

LCM = 101586240 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 5039

Step 4: Therefore, the least common multiple of 20156 and 20160 is 101586240.