LCM of 66 and 71
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 66 and 71 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 4686 as output. Here you can check the answer for Find the LCM of 66 and 71.
What is LCM of 66 and 71
Given Numbers are 66, 71
We can find the LCM of 66, 71 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 66 and 71
Multiples of 66 =66,132,198,264,330,396,462,528,594,660,726,792,858,924,990,1056,1122,
Multiples of 71 =71,142,213,284,355,426,497,568,639,710,781,852,923,994,1065,1136,1207,
Now, get the least common multiple of 66, 71 which is 4686
So, the LCM of 66, 71 is 4686.
Least Common Multiple (LCM) of 66 and 71 with the help of Prime Factorisation
One method for determining the LCM of 66 and 71 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 66's prime factorization:
| 2 | 66 |
| 3 | 33 |
| 11 | 11 |
| 1 |
Prime factors of 66 are 2, 3,11.
66 = 21×31×111
And this is 71's prime factorization:
| 71 | 71 |
| 1 |
Prime factors of 71 are 71.
71 = 711
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, 3,11,71
.21×31×111×711 = 4686
This shows that the LCM of 66 and 71 is 4686.
How to Calculate the LCM of 66 and 71 Using Common Multiples
The first step in determining the Least Common Multiple of 66 and 71 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 66 and 71:
Lets look at the first ten multiples of these numbers, 66 and 71:
66,132,198,264,330,396,462,528,594,1122 are the first ten multiples of 66.
71,142,213,284,355,426,497,568,639,1207 are the first ten multiples of 71.
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 66 and 71, for example, are 792, 1122, and 1136. 4686 is the least common multiple since it is the smallest.
66 and 71 have an LCM of 4686.
Least Common Multiple of 66 and 71 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66 and 71, than apply into the LCM equation.
GCF(66,71) = 1
LCM(66,71) = ( 66 × 71) / 1
LCM(66,71) = 4686 / 1
LCM(66,71) = 4686
Related Least Common Multiples of 66
Related Least Common Multiples of 71
Frequently Asked Questions on LCM of 66 and 71
1. What is the LCM of 66 and 71?
The LCM of 66 and 71 is 4686.
2. How to find the lowest common multiple of 66 and 71?
To find the lowest common multiple of 66 and 71, we have to get the multip;es of both numbers and identify the least common multiple in them which is 4686.
3. What are the Factors of 66?
Answer: Factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66. There are 8 integers that are factors of 66. The greatest factor of 66 is 66.
4. What are the Factors of 71?
Answer: Factors of 71 are 1, 71. There are 2 integers that are factors of 71. The greatest factor of 71 is 71.
5. How to Find the LCM of 66 and 71?Answer:
Least Common Multiple of 66 and 71 = 4686
Step 1: Find the prime factorization of 66
66 = 2 x 3 x 11
Step 2: Find the prime factorization of 71
71 = 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4686 = 2 x 3 x 11 x 71
Step 4: Therefore, the least common multiple of 66 and 71 is 4686.