Given Numbers are 57, 61

We can find the LCM of 57, 61 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 57 and 61

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

Multiples of 61 =61,122,183,244,305,366,427,488,549,610,671,732,793,854,915,976,1037,

Now, get the least common multiple of 57, 61 which is 3477

So, the LCM of 57, 61 is 3477.

One method for determining the LCM of 57 and 61 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 57's prime factorization:

Prime factors of 57 are 3,19.

57 = 3¹×19¹

And this is 61's prime factorization:

Prime factors of 61 are 61.

61 = 61¹

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: 3,19,61

3¹×19¹×61¹ = 3477

This shows that the LCM of 57 and 61 is 3477.

The first step in determining the Least Common Multiple of 57 and 61 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 57 and 61:

Lets look at the first ten multiples of these numbers, 57 and 61:

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

61,122,183,244,305,366,427,488,549,1037 are the first ten multiples of 61.

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 57 and 61, for example, are 684, 969, and 976. 3477 is the least common multiple since it is the smallest.

57 and 61 have an LCM of 3477.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57 and 61, than apply into the LCM equation.

GCF(57,61) = 1
LCM(57,61) = ( 57 × 61) / 1
LCM(57,61) = 3477 / 1
LCM(57,61) = 3477

1. What is the LCM of 57 and 61?

The LCM of 57 and 61 is 3477.

2. How to find the lowest common multiple of 57 and 61?

To find the lowest common multiple of 57 and 61, we have to get the multip;es of both numbers and identify the least common multiple in them which is 3477.

3. 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.

4. What are the Factors of 61?

Answer: Factors of 61 are 1, 61. There are 2 integers that are factors of 61. The greatest factor of 61 is 61.

Answer:

Least Common Multiple of 57 and 61 = 3477

Step 1: Find the prime factorization of 57

57 = 3 x 19

Step 2: Find the prime factorization of 61

61 = 61

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

LCM = 3477 = 3 x 19 x 61

Step 4: Therefore, the least common multiple of 57 and 61 is 3477.