LCM of 63 and 69
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 63 and 69 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 1449 as output. Here you can check the answer for Find the LCM of 63 and 69.
What is LCM of 63 and 69
Given Numbers are 63, 69
We can find the LCM of 63, 69 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 63 and 69
Multiples of 63 =63,126,189,252,315,378,441,504,567,630,693,756,819,882,945,1008,1071,
Multiples of 69 =69,138,207,276,345,414,483,552,621,690,759,828,897,966,1035,1104,1173,
Now, get the least common multiple of 63, 69 which is 1449
So, the LCM of 63, 69 is 1449.
Least Common Multiple (LCM) of 63 and 69 with the help of Prime Factorisation
One method for determining the LCM of 63 and 69 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 69's prime factorization:
| 3 | 69 |
| 23 | 23 |
| 1 |
Prime factors of 69 are 3,23.
69 = 31×231
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: 3,7,23
.32×71×231 = 1449
This shows that the LCM of 63 and 69 is 1449.
How to Calculate the LCM of 63 and 69 Using Common Multiples
The first step in determining the Least Common Multiple of 63 and 69 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 63 and 69:
Lets look at the first ten multiples of these numbers, 63 and 69:
63,126,189,252,315,378,441,504,567,1071 are the first ten multiples of 63.
69,138,207,276,345,414,483,552,621,1173 are the first ten multiples of 69.
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 69, for example, are 756, 1071, and 1104. 1449 is the least common multiple since it is the smallest.
63 and 69 have an LCM of 1449.
Least Common Multiple of 63 and 69 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 69, than apply into the LCM equation.
GCF(63,69) = 3
LCM(63,69) = ( 63 × 69) / 3
LCM(63,69) = 4347 / 3
LCM(63,69) = 1449
Related Least Common Multiples of 63
Related Least Common Multiples of 69
Frequently Asked Questions on LCM of 63 and 69
1. What is the LCM of 63 and 69?
The LCM of 63 and 69 is 1449.
2. How to find the lowest common multiple of 63 and 69?
To find the lowest common multiple of 63 and 69, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1449.
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 69?
Answer: Factors of 69 are 1, 3, 23, 69. There are 4 integers that are factors of 69. The greatest factor of 69 is 69.
5. How to Find the LCM of 63 and 69?Answer:
Least Common Multiple of 63 and 69 = 1449
Step 1: Find the prime factorization of 63
63 = 3 x 3 x 7
Step 2: Find the prime factorization of 69
69 = 3 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1449 = 3 x 3 x 7 x 23
Step 4: Therefore, the least common multiple of 63 and 69 is 1449.