Given Numbers are 136, 142

We can find the LCM of 136, 142 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 136 and 142

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

Multiples of 142 =142,284,426,568,710,852,994,1136,1278,1420,1562,1704,1846,1988,2130,2272,2414,

Now, get the least common multiple of 136, 142 which is 9656

So, the LCM of 136, 142 is 9656.

One method for determining the LCM of 136 and 142 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 142's prime factorization:

Prime factors of 142 are 2,71.

142 = 2¹×71¹

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: 2,17,71

2³×17¹×71¹ = 9656

This shows that the LCM of 136 and 142 is 9656.

The first step in determining the Least Common Multiple of 136 and 142 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 136 and 142:

Lets look at the first ten multiples of these numbers, 136 and 142:

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

142,284,426,568,710,852,994,1136,1278,2414 are the first ten multiples of 142.

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 142, for example, are 1632, 2312, and 2272. 9656 is the least common multiple since it is the smallest.

136 and 142 have an LCM of 9656.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 136 and 142, than apply into the LCM equation.

GCF(136,142) = 2
LCM(136,142) = ( 136 × 142) / 2
LCM(136,142) = 19312 / 2
LCM(136,142) = 9656

1. What is the LCM of 136 and 142?

The LCM of 136 and 142 is 9656.

2. How to find the lowest common multiple of 136 and 142?

To find the lowest common multiple of 136 and 142, we have to get the multip;es of both numbers and identify the least common multiple in them which is 9656.

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 142?

Answer: Factors of 142 are 1, 2, 71, 142. There are 4 integers that are factors of 142. The greatest factor of 142 is 142.

Answer:

Least Common Multiple of 136 and 142 = 9656

Step 1: Find the prime factorization of 136

136 = 2 x 2 x 2 x 17

Step 2: Find the prime factorization of 142

142 = 2 x 71

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

LCM = 9656 = 2 x 2 x 2 x 17 x 71

Step 4: Therefore, the least common multiple of 136 and 142 is 9656.