Given Numbers are 20152, 20158

We can find the LCM of 20152, 20158 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 20152 and 20158

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

Multiples of 20158 =20158,40316,60474,80632,100790,120948,141106,161264,181422,201580,221738,241896,262054,282212,302370,322528,342686,

Now, get the least common multiple of 20152, 20158 which is 203112008

So, the LCM of 20152, 20158 is 203112008.

One method for determining the LCM of 20152 and 20158 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 20158's prime factorization:

Prime factors of 20158 are 2,10079.

20158 = 2¹×10079¹

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, 11,229,10079

2³×11¹×229¹×10079¹ = 203112008

This shows that the LCM of 20152 and 20158 is 203112008.

The first step in determining the Least Common Multiple of 20152 and 20158 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 20152 and 20158:

Lets look at the first ten multiples of these numbers, 20152 and 20158:

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

20158,40316,60474,80632,100790,120948,141106,161264,181422,342686 are the first ten multiples of 20158.

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 20158, for example, are 241824, 342584, and 322528. 203112008 is the least common multiple since it is the smallest.

20152 and 20158 have an LCM of 203112008.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20152 and 20158, than apply into the LCM equation.

GCF(20152,20158) = 2
LCM(20152,20158) = ( 20152 × 20158) / 2
LCM(20152,20158) = 406224016 / 2
LCM(20152,20158) = 203112008

1. What is the LCM of 20152 and 20158?

The LCM of 20152 and 20158 is 203112008.

2. How to find the lowest common multiple of 20152 and 20158?

To find the lowest common multiple of 20152 and 20158, we have to get the multip;es of both numbers and identify the least common multiple in them which is 203112008.

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 20158?

Answer: Factors of 20158 are 1, 2, 10079, 20158. There are 4 integers that are factors of 20158. The greatest factor of 20158 is 20158.

Answer:

Least Common Multiple of 20152 and 20158 = 203112008

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 20158

20158 = 2 x 10079

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

LCM = 203112008 = 2 x 2 x 2 x 11 x 229 x 10079

Step 4: Therefore, the least common multiple of 20152 and 20158 is 203112008.