Given Numbers are 130, 137

We can find the LCM of 130, 137 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 130 and 137

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

Multiples of 137 =137,274,411,548,685,822,959,1096,1233,1370,1507,1644,1781,1918,2055,2192,2329,

Now, get the least common multiple of 130, 137 which is 17810

So, the LCM of 130, 137 is 17810.

One method for determining the LCM of 130 and 137 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 137's prime factorization:

Prime factors of 137 are 137.

137 = 137¹

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, 5,13,137

2¹×5¹×13¹×137¹ = 17810

This shows that the LCM of 130 and 137 is 17810.

The first step in determining the Least Common Multiple of 130 and 137 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 130 and 137:

Lets look at the first ten multiples of these numbers, 130 and 137:

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

137,274,411,548,685,822,959,1096,1233,2329 are the first ten multiples of 137.

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 137, for example, are 1560, 2210, and 2192. 17810 is the least common multiple since it is the smallest.

130 and 137 have an LCM of 17810.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 130 and 137, than apply into the LCM equation.

GCF(130,137) = 1
LCM(130,137) = ( 130 × 137) / 1
LCM(130,137) = 17810 / 1
LCM(130,137) = 17810

1. What is the LCM of 130 and 137?

The LCM of 130 and 137 is 17810.

2. How to find the lowest common multiple of 130 and 137?

To find the lowest common multiple of 130 and 137, we have to get the multip;es of both numbers and identify the least common multiple in them which is 17810.

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 137?

Answer: Factors of 137 are 1, 137. There are 2 integers that are factors of 137. The greatest factor of 137 is 137.

Answer:

Least Common Multiple of 130 and 137 = 17810

Step 1: Find the prime factorization of 130

130 = 2 x 5 x 13

Step 2: Find the prime factorization of 137

137 = 137

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

LCM = 17810 = 2 x 5 x 13 x 137

Step 4: Therefore, the least common multiple of 130 and 137 is 17810.