Given Numbers are 20152, 20157

We can find the LCM of 20152, 20157 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 20152 and 20157

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

Multiples of 20157 =20157,40314,60471,80628,100785,120942,141099,161256,181413,201570,221727,241884,262041,282198,302355,322512,342669,

Now, get the least common multiple of 20152, 20157 which is 406203864

So, the LCM of 20152, 20157 is 406203864.

One method for determining the LCM of 20152 and 20157 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 20157's prime factorization:

Prime factors of 20157 are 3,6719.

20157 = 3¹×6719¹

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, 3,6719

2³×3¹×11¹×229¹×6719¹ = 406203864

This shows that the LCM of 20152 and 20157 is 406203864.

The first step in determining the Least Common Multiple of 20152 and 20157 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 20152 and 20157:

Lets look at the first ten multiples of these numbers, 20152 and 20157:

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

20157,40314,60471,80628,100785,120942,141099,161256,181413,342669 are the first ten multiples of 20157.

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 20157, for example, are 241824, 342584, and 322512. 406203864 is the least common multiple since it is the smallest.

20152 and 20157 have an LCM of 406203864.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20152 and 20157, than apply into the LCM equation.

GCF(20152,20157) = 1
LCM(20152,20157) = ( 20152 × 20157) / 1
LCM(20152,20157) = 406203864 / 1
LCM(20152,20157) = 406203864

1. What is the LCM of 20152 and 20157?

The LCM of 20152 and 20157 is 406203864.

2. How to find the lowest common multiple of 20152 and 20157?

To find the lowest common multiple of 20152 and 20157, we have to get the multip;es of both numbers and identify the least common multiple in them which is 406203864.

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 20157?

Answer: Factors of 20157 are 1, 3, 6719, 20157. There are 4 integers that are factors of 20157. The greatest factor of 20157 is 20157.

Answer:

Least Common Multiple of 20152 and 20157 = 406203864

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 20157

20157 = 3 x 6719

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

LCM = 406203864 = 2 x 2 x 2 x 3 x 11 x 229 x 6719

Step 4: Therefore, the least common multiple of 20152 and 20157 is 406203864.