Given Numbers are 53, 58

We can find the LCM of 53, 58 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 53 and 58

Multiples of 53 =53,106,159,212,265,318,371,424,477,530,583,636,689,742,795,848,901,

Multiples of 58 =58,116,174,232,290,348,406,464,522,580,638,696,754,812,870,928,986,

Now, get the least common multiple of 53, 58 which is 3074

So, the LCM of 53, 58 is 3074.

One method for determining the LCM of 53 and 58 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 53's prime factorization:

Prime factors of 53 are 53.

53 = 53¹

And this is 58's prime factorization:

Prime factors of 58 are 2,29.

58 = 2¹×29¹

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:53, 2,29

2¹×29¹×53¹ = 3074

This shows that the LCM of 53 and 58 is 3074.

The first step in determining the Least Common Multiple of 53 and 58 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 53 and 58:

Lets look at the first ten multiples of these numbers, 53 and 58:

53,106,159,212,265,318,371,424,477,901 are the first ten multiples of 53.

58,116,174,232,290,348,406,464,522,986 are the first ten multiples of 58.

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 53 and 58, for example, are 636, 901, and 928. 3074 is the least common multiple since it is the smallest.

53 and 58 have an LCM of 3074.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53 and 58, than apply into the LCM equation.

GCF(53,58) = 1
LCM(53,58) = ( 53 × 58) / 1
LCM(53,58) = 3074 / 1
LCM(53,58) = 3074

1. What is the LCM of 53 and 58?

The LCM of 53 and 58 is 3074.

2. How to find the lowest common multiple of 53 and 58?

To find the lowest common multiple of 53 and 58, we have to get the multip;es of both numbers and identify the least common multiple in them which is 3074.

3. What are the Factors of 53?

Answer: Factors of 53 are 1, 53. There are 2 integers that are factors of 53. The greatest factor of 53 is 53.

4. What are the Factors of 58?

Answer: Factors of 58 are 1, 2, 29, 58. There are 4 integers that are factors of 58. The greatest factor of 58 is 58.

Answer:

Least Common Multiple of 53 and 58 = 3074

Step 1: Find the prime factorization of 53

53 = 53

Step 2: Find the prime factorization of 58

58 = 2 x 29

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

LCM = 3074 = 2 x 29 x 53

Step 4: Therefore, the least common multiple of 53 and 58 is 3074.