LCM of 63 and 67
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 63 and 67 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 4221 as output. Here you can check the answer for Find the LCM of 63 and 67.
What is LCM of 63 and 67
Given Numbers are 63, 67
We can find the LCM of 63, 67 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 63 and 67
Multiples of 63 =63,126,189,252,315,378,441,504,567,630,693,756,819,882,945,1008,1071,
Multiples of 67 =67,134,201,268,335,402,469,536,603,670,737,804,871,938,1005,1072,1139,
Now, get the least common multiple of 63, 67 which is 4221
So, the LCM of 63, 67 is 4221.
Least Common Multiple (LCM) of 63 and 67 with the help of Prime Factorisation
One method for determining the LCM of 63 and 67 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 63's prime factorization:
| 3 | 63 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 63 are 3,7.
63 = 32×71
And this is 67's prime factorization:
| 67 | 67 |
| 1 |
Prime factors of 67 are 67.
67 = 671
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: 3,7,67
.32×71×671 = 4221
This shows that the LCM of 63 and 67 is 4221.
How to Calculate the LCM of 63 and 67 Using Common Multiples
The first step in determining the Least Common Multiple of 63 and 67 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 63 and 67:
Lets look at the first ten multiples of these numbers, 63 and 67:
63,126,189,252,315,378,441,504,567,1071 are the first ten multiples of 63.
67,134,201,268,335,402,469,536,603,1139 are the first ten multiples of 67.
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 63 and 67, for example, are 756, 1071, and 1072. 4221 is the least common multiple since it is the smallest.
63 and 67 have an LCM of 4221.
Least Common Multiple of 63 and 67 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63 and 67, than apply into the LCM equation.
GCF(63,67) = 1
LCM(63,67) = ( 63 × 67) / 1
LCM(63,67) = 4221 / 1
LCM(63,67) = 4221
Related Least Common Multiples of 63
Related Least Common Multiples of 67
Frequently Asked Questions on LCM of 63 and 67
1. What is the LCM of 63 and 67?
The LCM of 63 and 67 is 4221.
2. How to find the lowest common multiple of 63 and 67?
To find the lowest common multiple of 63 and 67, we have to get the multip;es of both numbers and identify the least common multiple in them which is 4221.
3. 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.
4. What are the Factors of 67?
Answer: Factors of 67 are 1, 67. There are 2 integers that are factors of 67. The greatest factor of 67 is 67.
5. How to Find the LCM of 63 and 67?Answer:
Least Common Multiple of 63 and 67 = 4221
Step 1: Find the prime factorization of 63
63 = 3 x 3 x 7
Step 2: Find the prime factorization of 67
67 = 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4221 = 3 x 3 x 7 x 67
Step 4: Therefore, the least common multiple of 63 and 67 is 4221.