Given Numbers are 136, 143

We can find the LCM of 136, 143 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 136 and 143

Multiples of 136 =136,272,408,544,680,816,952,1088,1224,1360,1496,1632,1768,1904,2040,2176,2312,

Multiples of 143 =143,286,429,572,715,858,1001,1144,1287,1430,1573,1716,1859,2002,2145,2288,2431,

Now, get the least common multiple of 136, 143 which is 19448

So, the LCM of 136, 143 is 19448.

One method for determining the LCM of 136 and 143 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 136's prime factorization:

Prime factors of 136 are 2,17.

136 = 2³×17¹

And this is 143's prime factorization:

Prime factors of 143 are 11,13.

143 = 11¹×13¹

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: 2,17, 11,13

2³×11¹×13¹×17¹ = 19448

This shows that the LCM of 136 and 143 is 19448.

The first step in determining the Least Common Multiple of 136 and 143 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 136 and 143:

Lets look at the first ten multiples of these numbers, 136 and 143:

136,272,408,544,680,816,952,1088,1224,2312 are the first ten multiples of 136.

143,286,429,572,715,858,1001,1144,1287,2431 are the first ten multiples of 143.

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 136 and 143, for example, are 1632, 2312, and 2288. 19448 is the least common multiple since it is the smallest.

136 and 143 have an LCM of 19448.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 136 and 143, than apply into the LCM equation.

GCF(136,143) = 1
LCM(136,143) = ( 136 × 143) / 1
LCM(136,143) = 19448 / 1
LCM(136,143) = 19448

1. What is the LCM of 136 and 143?

The LCM of 136 and 143 is 19448.

2. How to find the lowest common multiple of 136 and 143?

To find the lowest common multiple of 136 and 143, we have to get the multip;es of both numbers and identify the least common multiple in them which is 19448.

3. What are the Factors of 136?

Answer: Factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136. There are 8 integers that are factors of 136. The greatest factor of 136 is 136.

4. What are the Factors of 143?

Answer: Factors of 143 are 1, 11, 13, 143. There are 4 integers that are factors of 143. The greatest factor of 143 is 143.

Answer:

Least Common Multiple of 136 and 143 = 19448

Step 1: Find the prime factorization of 136

136 = 2 x 2 x 2 x 17

Step 2: Find the prime factorization of 143

143 = 11 x 13

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

LCM = 19448 = 2 x 2 x 2 x 11 x 13 x 17

Step 4: Therefore, the least common multiple of 136 and 143 is 19448.