Given Numbers are 202, 207

We can find the LCM of 202, 207 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 202 and 207

Multiples of 202 =202,404,606,808,1010,1212,1414,1616,1818,2020,2222,2424,2626,2828,3030,3232,3434,

Multiples of 207 =207,414,621,828,1035,1242,1449,1656,1863,2070,2277,2484,2691,2898,3105,3312,3519,

Now, get the least common multiple of 202, 207 which is 41814

So, the LCM of 202, 207 is 41814.

One method for determining the LCM of 202 and 207 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 202's prime factorization:

Prime factors of 202 are 2,101.

202 = 2¹×101¹

And this is 207's prime factorization:

Prime factors of 207 are 3,23.

207 = 3²×23¹

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: 2,101, 3,23

2¹×3²×23¹×101¹ = 41814

This shows that the LCM of 202 and 207 is 41814.

The first step in determining the Least Common Multiple of 202 and 207 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 202 and 207:

Lets look at the first ten multiples of these numbers, 202 and 207:

202,404,606,808,1010,1212,1414,1616,1818,3434 are the first ten multiples of 202.

207,414,621,828,1035,1242,1449,1656,1863,3519 are the first ten multiples of 207.

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 202 and 207, for example, are 2424, 3434, and 3312. 41814 is the least common multiple since it is the smallest.

202 and 207 have an LCM of 41814.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 202 and 207, than apply into the LCM equation.

GCF(202,207) = 1
LCM(202,207) = ( 202 × 207) / 1
LCM(202,207) = 41814 / 1
LCM(202,207) = 41814

1. What is the LCM of 202 and 207?

The LCM of 202 and 207 is 41814.

2. How to find the lowest common multiple of 202 and 207?

To find the lowest common multiple of 202 and 207, we have to get the multip;es of both numbers and identify the least common multiple in them which is 41814.

3. What are the Factors of 202?

Answer: Factors of 202 are 1, 2, 101, 202. There are 4 integers that are factors of 202. The greatest factor of 202 is 202.

4. What are the Factors of 207?

Answer: Factors of 207 are 1, 3, 9, 23, 69, 207. There are 6 integers that are factors of 207. The greatest factor of 207 is 207.

Answer:

Least Common Multiple of 202 and 207 = 41814

Step 1: Find the prime factorization of 202

202 = 2 x 101

Step 2: Find the prime factorization of 207

207 = 3 x 3 x 23

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

LCM = 41814 = 2 x 3 x 3 x 23 x 101

Step 4: Therefore, the least common multiple of 202 and 207 is 41814.