LCM of 56 and 63
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 56 and 63 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 504 as output. Here you can check the answer for Find the LCM of 56 and 63.
What is LCM of 56 and 63
Given Numbers are 56, 63
We can find the LCM of 56, 63 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 56 and 63
Multiples of 56 =56,112,168,224,280,336,392,448,504,560,616,672,728,784,840,896,952,
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 56, 63 which is 504
So, the LCM of 56, 63 is 504.
Least Common Multiple (LCM) of 56 and 63 with the help of Prime Factorisation
One method for determining the LCM of 56 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 56's prime factorization:
| 2 | 56 |
| 2 | 28 |
| 2 | 14 |
| 7 | 7 |
| 1 |
Prime factors of 56 are 2,7.
56 = 23×71
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: 2,7,3
.23×32×71 = 504
This shows that the LCM of 56 and 63 is 504.
How to Calculate the LCM of 56 and 63 Using Common Multiples
The first step in determining the Least Common Multiple of 56 and 63 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 56 and 63:
Lets look at the first ten multiples of these numbers, 56 and 63:
56,112,168,224,280,336,392,448,504,952 are the first ten multiples of 56.
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 56 and 63, for example, are 672, 952, and 1008. 504 is the least common multiple since it is the smallest.
56 and 63 have an LCM of 504.
Least Common Multiple of 56 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 56 and 63, than apply into the LCM equation.
GCF(56,63) = 7
LCM(56,63) = ( 56 × 63) / 7
LCM(56,63) = 3528 / 7
LCM(56,63) = 504
Related Least Common Multiples of 56
Related Least Common Multiples of 63
Frequently Asked Questions on LCM of 56 and 63
1. What is the LCM of 56 and 63?
The LCM of 56 and 63 is 504.
2. How to find the lowest common multiple of 56 and 63?
To find the lowest common multiple of 56 and 63, we have to get the multip;es of both numbers and identify the least common multiple in them which is 504.
3. What are the Factors of 56?
Answer: Factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56. There are 8 integers that are factors of 56. The greatest factor of 56 is 56.
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 56 and 63?Answer:
Least Common Multiple of 56 and 63 = 504
Step 1: Find the prime factorization of 56
56 = 2 x 2 x 2 x 7
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 = 504 = 2 x 2 x 2 x 3 x 3 x 7
Step 4: Therefore, the least common multiple of 56 and 63 is 504.