Given Numbers are 49, 53

We can find the LCM of 49, 53 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 49 and 53

Multiples of 49 =49,98,147,196,245,294,343,392,441,490,539,588,637,686,735,784,833,

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

Now, get the least common multiple of 49, 53 which is 2597

So, the LCM of 49, 53 is 2597.

One method for determining the LCM of 49 and 53 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 49's prime factorization:

Prime factors of 49 are 7.

49 = 7²

And this is 53's prime factorization:

Prime factors of 53 are 53.

53 = 53¹

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:7,53

7²×53¹ = 2597

This shows that the LCM of 49 and 53 is 2597.

The first step in determining the Least Common Multiple of 49 and 53 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 49 and 53:

Lets look at the first ten multiples of these numbers, 49 and 53:

49,98,147,196,245,294,343,392,441,833 are the first ten multiples of 49.

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

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 49 and 53, for example, are 588, 833, and 848. 2597 is the least common multiple since it is the smallest.

49 and 53 have an LCM of 2597.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49 and 53, than apply into the LCM equation.

GCF(49,53) = 1
LCM(49,53) = ( 49 × 53) / 1
LCM(49,53) = 2597 / 1
LCM(49,53) = 2597

1. What is the LCM of 49 and 53?

The LCM of 49 and 53 is 2597.

2. How to find the lowest common multiple of 49 and 53?

To find the lowest common multiple of 49 and 53, we have to get the multip;es of both numbers and identify the least common multiple in them which is 2597.

3. What are the Factors of 49?

Answer: Factors of 49 are 1, 7, 49. There are 3 integers that are factors of 49. The greatest factor of 49 is 49.

4. 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.

Answer:

Least Common Multiple of 49 and 53 = 2597

Step 1: Find the prime factorization of 49

49 = 7 x 7

Step 2: Find the prime factorization of 53

53 = 53

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

LCM = 2597 = 7 x 7 x 53

Step 4: Therefore, the least common multiple of 49 and 53 is 2597.