LCM of 66 and 70
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 66 and 70 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 2310 as output. Here you can check the answer for Find the LCM of 66 and 70.
What is LCM of 66 and 70
Given Numbers are 66, 70
We can find the LCM of 66, 70 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 66 and 70
Multiples of 66 =66,132,198,264,330,396,462,528,594,660,726,792,858,924,990,1056,1122,
Multiples of 70 =70,140,210,280,350,420,490,560,630,700,770,840,910,980,1050,1120,1190,
Now, get the least common multiple of 66, 70 which is 2310
So, the LCM of 66, 70 is 2310.
Least Common Multiple (LCM) of 66 and 70 with the help of Prime Factorisation
One method for determining the LCM of 66 and 70 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 70's prime factorization:
| 2 | 70 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 70 are 2, 5,7.
70 = 21×51×71
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, 3,11, 5,7
.21×31×51×71×111 = 2310
This shows that the LCM of 66 and 70 is 2310.
How to Calculate the LCM of 66 and 70 Using Common Multiples
The first step in determining the Least Common Multiple of 66 and 70 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 66 and 70:
Lets look at the first ten multiples of these numbers, 66 and 70:
66,132,198,264,330,396,462,528,594,1122 are the first ten multiples of 66.
70,140,210,280,350,420,490,560,630,1190 are the first ten multiples of 70.
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 70, for example, are 792, 1122, and 1120. 2310 is the least common multiple since it is the smallest.
66 and 70 have an LCM of 2310.
Least Common Multiple of 66 and 70 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 70, than apply into the LCM equation.
GCF(66,70) = 2
LCM(66,70) = ( 66 × 70) / 2
LCM(66,70) = 4620 / 2
LCM(66,70) = 2310
Related Least Common Multiples of 66
Related Least Common Multiples of 70
Frequently Asked Questions on LCM of 66 and 70
1. What is the LCM of 66 and 70?
The LCM of 66 and 70 is 2310.
2. How to find the lowest common multiple of 66 and 70?
To find the lowest common multiple of 66 and 70, we have to get the multip;es of both numbers and identify the least common multiple in them which is 2310.
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 70?
Answer: Factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70. There are 8 integers that are factors of 70. The greatest factor of 70 is 70.
5. How to Find the LCM of 66 and 70?Answer:
Least Common Multiple of 66 and 70 = 2310
Step 1: Find the prime factorization of 66
66 = 2 x 3 x 11
Step 2: Find the prime factorization of 70
70 = 2 x 5 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 = 2310 = 2 x 3 x 5 x 7 x 11
Step 4: Therefore, the least common multiple of 66 and 70 is 2310.