LCM of 47 and 54
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 47 and 54 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 2538 as output. Here you can check the answer for Find the LCM of 47 and 54.
What is LCM of 47 and 54
Given Numbers are 47, 54
We can find the LCM of 47, 54 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 47 and 54
Multiples of 47 =47,94,141,188,235,282,329,376,423,470,517,564,611,658,705,752,799,
Multiples of 54 =54,108,162,216,270,324,378,432,486,540,594,648,702,756,810,864,918,
Now, get the least common multiple of 47, 54 which is 2538
So, the LCM of 47, 54 is 2538.
Least Common Multiple (LCM) of 47 and 54 with the help of Prime Factorisation
One method for determining the LCM of 47 and 54 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 47's prime factorization:
| 47 | 47 |
| 1 |
Prime factors of 47 are 47.
47 = 471
And this is 54's prime factorization:
| 2 | 54 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 54 are 2,3.
54 = 21×33
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:47, 2,3
.21×33×471 = 2538
This shows that the LCM of 47 and 54 is 2538.
How to Calculate the LCM of 47 and 54 Using Common Multiples
The first step in determining the Least Common Multiple of 47 and 54 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 47 and 54:
Lets look at the first ten multiples of these numbers, 47 and 54:
47,94,141,188,235,282,329,376,423,799 are the first ten multiples of 47.
54,108,162,216,270,324,378,432,486,918 are the first ten multiples of 54.
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 47 and 54, for example, are 564, 799, and 864. 2538 is the least common multiple since it is the smallest.
47 and 54 have an LCM of 2538.
Least Common Multiple of 47 and 54 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47 and 54, than apply into the LCM equation.
GCF(47,54) = 1
LCM(47,54) = ( 47 × 54) / 1
LCM(47,54) = 2538 / 1
LCM(47,54) = 2538
Related Least Common Multiples of 47
Related Least Common Multiples of 54
Frequently Asked Questions on LCM of 47 and 54
1. What is the LCM of 47 and 54?
The LCM of 47 and 54 is 2538.
2. How to find the lowest common multiple of 47 and 54?
To find the lowest common multiple of 47 and 54, we have to get the multip;es of both numbers and identify the least common multiple in them which is 2538.
3. What are the Factors of 47?
Answer: Factors of 47 are 1, 47. There are 2 integers that are factors of 47. The greatest factor of 47 is 47.
4. What are the Factors of 54?
Answer: Factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54. There are 8 integers that are factors of 54. The greatest factor of 54 is 54.
5. How to Find the LCM of 47 and 54?Answer:
Least Common Multiple of 47 and 54 = 2538
Step 1: Find the prime factorization of 47
47 = 47
Step 2: Find the prime factorization of 54
54 = 2 x 3 x 3 x 3
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2538 = 2 x 3 x 3 x 3 x 47
Step 4: Therefore, the least common multiple of 47 and 54 is 2538.