LCM of 57 and 63
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 57 and 63 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 1197 as output. Here you can check the answer for Find the LCM of 57 and 63.
What is LCM of 57 and 63
Given Numbers are 57, 63
We can find the LCM of 57, 63 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 57 and 63
Multiples of 57 =57,114,171,228,285,342,399,456,513,570,627,684,741,798,855,912,969,
Multiples of 63 =63,126,189,252,315,378,441,504,567,630,693,756,819,882,945,1008,1071,
Now, get the least common multiple of 57, 63 which is 1197
So, the LCM of 57, 63 is 1197.
Least Common Multiple (LCM) of 57 and 63 with the help of Prime Factorisation
One method for determining the LCM of 57 and 63 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:
| 3 | 57 |
| 19 | 19 |
| 1 |
Prime factors of 57 are 3,19.
57 = 31×191
And this is 63's prime factorization:
| 3 | 63 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 63 are 3,7.
63 = 32×71
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: 3,19,7
.32×71×191 = 1197
This shows that the LCM of 57 and 63 is 1197.
How to Calculate the LCM of 57 and 63 Using Common Multiples
The first step in determining the Least Common Multiple of 57 and 63 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 57 and 63:
Lets look at the first ten multiples of these numbers, 57 and 63:
57,114,171,228,285,342,399,456,513,969 are the first ten multiples of 57.
63,126,189,252,315,378,441,504,567,1071 are the first ten multiples of 63.
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 63, for example, are 684, 969, and 1008. 1197 is the least common multiple since it is the smallest.
57 and 63 have an LCM of 1197.
Least Common Multiple of 57 and 63 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57 and 63, than apply into the LCM equation.
GCF(57,63) = 3
LCM(57,63) = ( 57 × 63) / 3
LCM(57,63) = 3591 / 3
LCM(57,63) = 1197
Related Least Common Multiples of 57
Related Least Common Multiples of 63
Frequently Asked Questions on LCM of 57 and 63
1. What is the LCM of 57 and 63?
The LCM of 57 and 63 is 1197.
2. How to find the lowest common multiple of 57 and 63?
To find the lowest common multiple of 57 and 63, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1197.
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 63?
Answer: Factors of 63 are 1, 3, 7, 9, 21, 63. There are 6 integers that are factors of 63. The greatest factor of 63 is 63.
5. How to Find the LCM of 57 and 63?Answer:
Least Common Multiple of 57 and 63 = 1197
Step 1: Find the prime factorization of 57
57 = 3 x 19
Step 2: Find the prime factorization of 63
63 = 3 x 3 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1197 = 3 x 3 x 7 x 19
Step 4: Therefore, the least common multiple of 57 and 63 is 1197.