Given Numbers are 52, 58

We can find the LCM of 52, 58 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 52 and 58

Multiples of 52 =52,104,156,208,260,312,364,416,468,520,572,624,676,728,780,832,884,

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 52, 58 which is 1508

So, the LCM of 52, 58 is 1508.

One method for determining the LCM of 52 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 52's prime factorization:

Prime factors of 52 are 2,13.

52 = 2²×13¹

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: 2,13,29

2²×13¹×29¹ = 1508

This shows that the LCM of 52 and 58 is 1508.

The first step in determining the Least Common Multiple of 52 and 58 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 52 and 58:

Lets look at the first ten multiples of these numbers, 52 and 58:

52,104,156,208,260,312,364,416,468,884 are the first ten multiples of 52.

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 52 and 58, for example, are 624, 884, and 928. 1508 is the least common multiple since it is the smallest.

52 and 58 have an LCM of 1508.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52 and 58, than apply into the LCM equation.

GCF(52,58) = 2
LCM(52,58) = ( 52 × 58) / 2
LCM(52,58) = 3016 / 2
LCM(52,58) = 1508

1. What is the LCM of 52 and 58?

The LCM of 52 and 58 is 1508.

2. How to find the lowest common multiple of 52 and 58?

To find the lowest common multiple of 52 and 58, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1508.

3. What are the Factors of 52?

Answer: Factors of 52 are 1, 2, 4, 13, 26, 52. There are 6 integers that are factors of 52. The greatest factor of 52 is 52.

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 52 and 58 = 1508

Step 1: Find the prime factorization of 52

52 = 2 x 2 x 13

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 = 1508 = 2 x 2 x 13 x 29

Step 4: Therefore, the least common multiple of 52 and 58 is 1508.