Given Numbers are 53, 57

We can find the LCM of 53, 57 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 53 and 57

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

Multiples of 57 =57,114,171,228,285,342,399,456,513,570,627,684,741,798,855,912,969,

Now, get the least common multiple of 53, 57 which is 3021

So, the LCM of 53, 57 is 3021.

One method for determining the LCM of 53 and 57 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 57's prime factorization:

Prime factors of 57 are 3,19.

57 = 3¹×19¹

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, 3,19

3¹×19¹×53¹ = 3021

This shows that the LCM of 53 and 57 is 3021.

The first step in determining the Least Common Multiple of 53 and 57 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 53 and 57:

Lets look at the first ten multiples of these numbers, 53 and 57:

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

57,114,171,228,285,342,399,456,513,969 are the first ten multiples of 57.

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 57, for example, are 636, 901, and 912. 3021 is the least common multiple since it is the smallest.

53 and 57 have an LCM of 3021.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53 and 57, than apply into the LCM equation.

GCF(53,57) = 1
LCM(53,57) = ( 53 × 57) / 1
LCM(53,57) = 3021 / 1
LCM(53,57) = 3021

1. What is the LCM of 53 and 57?

The LCM of 53 and 57 is 3021.

2. How to find the lowest common multiple of 53 and 57?

To find the lowest common multiple of 53 and 57, we have to get the multip;es of both numbers and identify the least common multiple in them which is 3021.

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 57?

Answer: Factors of 57 are 1, 3, 19, 57. There are 4 integers that are factors of 57. The greatest factor of 57 is 57.

Answer:

Least Common Multiple of 53 and 57 = 3021

Step 1: Find the prime factorization of 53

53 = 53

Step 2: Find the prime factorization of 57

57 = 3 x 19

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

LCM = 3021 = 3 x 19 x 53

Step 4: Therefore, the least common multiple of 53 and 57 is 3021.