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LCM of 6985 and 6992

Created By : Bhagya
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


It is easy to find the LCM of 6985 and 6992 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 48839120 as output. Here you can check the answer for Find the LCM of 6985 and 6992.

 

LCM of:
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What is LCM of 6985 and 6992

Given Numbers are 6985, 6992

We can find the LCM of 6985, 6992 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6985 and 6992

Multiples of 6985 =6985,13970,20955,27940,34925,41910,48895,55880,62865,69850,76835,83820,90805,97790,104775,111760,118745,

Multiples of 6992 =6992,13984,20976,27968,34960,41952,48944,55936,62928,69920,76912,83904,90896,97888,104880,111872,118864,

Now, get the least common multiple of 6985, 6992 which is 48839120

So, the LCM of 6985, 6992 is 48839120.

Least Common Multiple (LCM) of 6985 and 6992 with the help of Prime Factorisation

One method for determining the LCM of 6985 and 6992 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 6985's prime factorization:


5 6985
11 1397
127 127
1

Prime factors of 6985 are 5, 11,127.

6985 = 51×111×1271

And this is 6992's prime factorization:


2 6992
2 3496
2 1748
2 874
19 437
23 23
1

Prime factors of 6992 are 2, 19,23.

6992 = 24×191×231

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: 5, 11,127, 2, 19,23

.

24×51×111×191×231×1271 = 48839120

This shows that the LCM of 6985 and 6992 is 48839120.

How to Calculate the LCM of 6985 and 6992 Using Common Multiples

The first step in determining the Least Common Multiple of 6985 and 6992 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6985 and 6992:

Lets look at the first ten multiples of these numbers, 6985 and 6992:

6985,13970,20955,27940,34925,41910,48895,55880,62865,118745 are the first ten multiples of 6985.

6992,13984,20976,27968,34960,41952,48944,55936,62928,118864 are the first ten multiples of 6992.

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 6985 and 6992, for example, are 83820, 118745, and 111872. 48839120 is the least common multiple since it is the smallest.

6985 and 6992 have an LCM of 48839120.

Least Common Multiple of 6985 and 6992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6985 and 6992, than apply into the LCM equation.

GCF(6985,6992) = 1
LCM(6985,6992) = ( 6985 × 6992) / 1
LCM(6985,6992) = 48839120 / 1
LCM(6985,6992) = 48839120

Frequently Asked Questions on LCM of 6985 and 6992

1. What is the LCM of 6985 and 6992?

The LCM of 6985 and 6992 is 48839120.

2. How to find the lowest common multiple of 6985 and 6992?

To find the lowest common multiple of 6985 and 6992, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48839120.

3. What are the Factors of 6985?

Answer: Factors of 6985 are 1, 5, 11, 55, 127, 635, 1397, 6985. There are 8 integers that are factors of 6985. The greatest factor of 6985 is 6985.

4. What are the Factors of 6992?

Answer: Factors of 6992 are 1, 2, 4, 8, 16, 19, 23, 38, 46, 76, 92, 152, 184, 304, 368, 437, 874, 1748, 3496, 6992. There are 20 integers that are factors of 6992. The greatest factor of 6992 is 6992.

5. How to Find the LCM of 6985 and 6992?

Answer:

Least Common Multiple of 6985 and 6992 = 48839120

Step 1: Find the prime factorization of 6985

6985 = 5 x 11 x 127

Step 2: Find the prime factorization of 6992

6992 = 2 x 2 x 2 x 2 x 19 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 = 48839120 = 2 x 2 x 2 x 2 x 5 x 11 x 19 x 23 x 127

Step 4: Therefore, the least common multiple of 6985 and 6992 is 48839120.