Given Numbers are 20152, 20156

We can find the LCM of 20152, 20156 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 20152 and 20156

Multiples of 20152 =20152,40304,60456,80608,100760,120912,141064,161216,181368,201520,221672,241824,261976,282128,302280,322432,342584,

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

Now, get the least common multiple of 20152, 20156 which is 101545928

So, the LCM of 20152, 20156 is 101545928.

One method for determining the LCM of 20152 and 20156 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 20152's prime factorization:

Prime factors of 20152 are 2, 11,229.

20152 = 2³×11¹×229¹

And this is 20156's prime factorization:

Prime factors of 20156 are 2,5039.

20156 = 2²×5039¹

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, 11,229,5039

2³×11¹×229¹×5039¹ = 101545928

This shows that the LCM of 20152 and 20156 is 101545928.

The first step in determining the Least Common Multiple of 20152 and 20156 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 20152 and 20156:

Lets look at the first ten multiples of these numbers, 20152 and 20156:

20152,40304,60456,80608,100760,120912,141064,161216,181368,342584 are the first ten multiples of 20152.

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

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 20152 and 20156, for example, are 241824, 342584, and 322496. 101545928 is the least common multiple since it is the smallest.

20152 and 20156 have an LCM of 101545928.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20152 and 20156, than apply into the LCM equation.

GCF(20152,20156) = 4
LCM(20152,20156) = ( 20152 × 20156) / 4
LCM(20152,20156) = 406183712 / 4
LCM(20152,20156) = 101545928

1. What is the LCM of 20152 and 20156?

The LCM of 20152 and 20156 is 101545928.

2. How to find the lowest common multiple of 20152 and 20156?

To find the lowest common multiple of 20152 and 20156, we have to get the multip;es of both numbers and identify the least common multiple in them which is 101545928.

3. What are the Factors of 20152?

Answer: Factors of 20152 are 1, 2, 4, 8, 11, 22, 44, 88, 229, 458, 916, 1832, 2519, 5038, 10076, 20152. There are 16 integers that are factors of 20152. The greatest factor of 20152 is 20152.

4. 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.

Answer:

Least Common Multiple of 20152 and 20156 = 101545928

Step 1: Find the prime factorization of 20152

20152 = 2 x 2 x 2 x 11 x 229

Step 2: Find the prime factorization of 20156

20156 = 2 x 2 x 5039

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

LCM = 101545928 = 2 x 2 x 2 x 11 x 229 x 5039

Step 4: Therefore, the least common multiple of 20152 and 20156 is 101545928.