LCM of 58 and 63
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 58 and 63 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 3654 as output. Here you can check the answer for Find the LCM of 58 and 63.
What is LCM of 58 and 63
Given Numbers are 58, 63
We can find the LCM of 58, 63 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 58 and 63
Multiples of 58 =58,116,174,232,290,348,406,464,522,580,638,696,754,812,870,928,986,
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 58, 63 which is 3654
So, the LCM of 58, 63 is 3654.
Least Common Multiple (LCM) of 58 and 63 with the help of Prime Factorisation
One method for determining the LCM of 58 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 58's prime factorization:
| 2 | 58 |
| 29 | 29 |
| 1 |
Prime factors of 58 are 2,29.
58 = 21×291
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: 2,29, 3,7
.21×32×71×291 = 3654
This shows that the LCM of 58 and 63 is 3654.
How to Calculate the LCM of 58 and 63 Using Common Multiples
The first step in determining the Least Common Multiple of 58 and 63 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 58 and 63:
Lets look at the first ten multiples of these numbers, 58 and 63:
58,116,174,232,290,348,406,464,522,986 are the first ten multiples of 58.
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 58 and 63, for example, are 696, 986, and 1008. 3654 is the least common multiple since it is the smallest.
58 and 63 have an LCM of 3654.
Least Common Multiple of 58 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 58 and 63, than apply into the LCM equation.
GCF(58,63) = 1
LCM(58,63) = ( 58 × 63) / 1
LCM(58,63) = 3654 / 1
LCM(58,63) = 3654
Related Least Common Multiples of 58
Related Least Common Multiples of 63
Frequently Asked Questions on LCM of 58 and 63
1. What is the LCM of 58 and 63?
The LCM of 58 and 63 is 3654.
2. How to find the lowest common multiple of 58 and 63?
To find the lowest common multiple of 58 and 63, we have to get the multip;es of both numbers and identify the least common multiple in them which is 3654.
3. What are the Factors of 58?
Answer: Factors of 58 are 1, 2, 29, 58. There are 4 integers that are factors of 58. The greatest factor of 58 is 58.
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 58 and 63?Answer:
Least Common Multiple of 58 and 63 = 3654
Step 1: Find the prime factorization of 58
58 = 2 x 29
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 = 3654 = 2 x 3 x 3 x 7 x 29
Step 4: Therefore, the least common multiple of 58 and 63 is 3654.