Given Numbers are 137, 143

We can find the LCM of 137, 143 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 137 and 143

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

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 137, 143 which is 19591

So, the LCM of 137, 143 is 19591.

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

Prime factors of 137 are 137.

137 = 137¹

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:137, 11,13

11¹×13¹×137¹ = 19591

This shows that the LCM of 137 and 143 is 19591.

The first step in determining the Least Common Multiple of 137 and 143 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 137 and 143:

Lets look at the first ten multiples of these numbers, 137 and 143:

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

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 137 and 143, for example, are 1644, 2329, and 2288. 19591 is the least common multiple since it is the smallest.

137 and 143 have an LCM of 19591.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 137 and 143, than apply into the LCM equation.

GCF(137,143) = 1
LCM(137,143) = ( 137 × 143) / 1
LCM(137,143) = 19591 / 1
LCM(137,143) = 19591

1. What is the LCM of 137 and 143?

The LCM of 137 and 143 is 19591.

2. How to find the lowest common multiple of 137 and 143?

To find the lowest common multiple of 137 and 143, we have to get the multip;es of both numbers and identify the least common multiple in them which is 19591.

3. 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.

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 137 and 143 = 19591

Step 1: Find the prime factorization of 137

137 = 137

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 = 19591 = 11 x 13 x 137

Step 4: Therefore, the least common multiple of 137 and 143 is 19591.