Given Numbers are 130, 136

We can find the LCM of 130, 136 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 130 and 136

Multiples of 130 =130,260,390,520,650,780,910,1040,1170,1300,1430,1560,1690,1820,1950,2080,2210,

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

Now, get the least common multiple of 130, 136 which is 8840

So, the LCM of 130, 136 is 8840.

One method for determining the LCM of 130 and 136 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 130's prime factorization:

Prime factors of 130 are 2, 5,13.

130 = 2¹×5¹×13¹

And this is 136's prime factorization:

Prime factors of 136 are 2,17.

136 = 2³×17¹

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, 5,13,17

2³×5¹×13¹×17¹ = 8840

This shows that the LCM of 130 and 136 is 8840.

The first step in determining the Least Common Multiple of 130 and 136 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 130 and 136:

Lets look at the first ten multiples of these numbers, 130 and 136:

130,260,390,520,650,780,910,1040,1170,2210 are the first ten multiples of 130.

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

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 130 and 136, for example, are 1560, 2210, and 2176. 8840 is the least common multiple since it is the smallest.

130 and 136 have an LCM of 8840.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 130 and 136, than apply into the LCM equation.

GCF(130,136) = 2
LCM(130,136) = ( 130 × 136) / 2
LCM(130,136) = 17680 / 2
LCM(130,136) = 8840

1. What is the LCM of 130 and 136?

The LCM of 130 and 136 is 8840.

2. How to find the lowest common multiple of 130 and 136?

To find the lowest common multiple of 130 and 136, we have to get the multip;es of both numbers and identify the least common multiple in them which is 8840.

3. What are the Factors of 130?

Answer: Factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130. There are 8 integers that are factors of 130. The greatest factor of 130 is 130.

4. 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.

Answer:

Least Common Multiple of 130 and 136 = 8840

Step 1: Find the prime factorization of 130

130 = 2 x 5 x 13

Step 2: Find the prime factorization of 136

136 = 2 x 2 x 2 x 17

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

LCM = 8840 = 2 x 2 x 2 x 5 x 13 x 17

Step 4: Therefore, the least common multiple of 130 and 136 is 8840.