Given Numbers are 6961, 6969

We can find the LCM of 6961, 6969 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6961 and 6969

Multiples of 6961 =6961,13922,20883,27844,34805,41766,48727,55688,62649,69610,76571,83532,90493,97454,104415,111376,118337,

Multiples of 6969 =6969,13938,20907,27876,34845,41814,48783,55752,62721,69690,76659,83628,90597,97566,104535,111504,118473,

Now, get the least common multiple of 6961, 6969 which is 48511209

So, the LCM of 6961, 6969 is 48511209.

One method for determining the LCM of 6961 and 6969 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 6961's prime factorization:

Prime factors of 6961 are 6961.

6961 = 6961¹

And this is 6969's prime factorization:

Prime factors of 6969 are 3, 23,101.

6969 = 3¹×23¹×101¹

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:6961, 3, 23,101

3¹×23¹×101¹×6961¹ = 48511209

This shows that the LCM of 6961 and 6969 is 48511209.

The first step in determining the Least Common Multiple of 6961 and 6969 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6961 and 6969:

Lets look at the first ten multiples of these numbers, 6961 and 6969:

6961,13922,20883,27844,34805,41766,48727,55688,62649,118337 are the first ten multiples of 6961.

6969,13938,20907,27876,34845,41814,48783,55752,62721,118473 are the first ten multiples of 6969.

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 6961 and 6969, for example, are 83532, 118337, and 111504. 48511209 is the least common multiple since it is the smallest.

6961 and 6969 have an LCM of 48511209.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6961 and 6969, than apply into the LCM equation.

GCF(6961,6969) = 1
LCM(6961,6969) = ( 6961 × 6969) / 1
LCM(6961,6969) = 48511209 / 1
LCM(6961,6969) = 48511209

1. What is the LCM of 6961 and 6969?

The LCM of 6961 and 6969 is 48511209.

2. How to find the lowest common multiple of 6961 and 6969?

To find the lowest common multiple of 6961 and 6969, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48511209.

3. What are the Factors of 6961?

Answer: Factors of 6961 are 1, 6961. There are 2 integers that are factors of 6961. The greatest factor of 6961 is 6961.

4. What are the Factors of 6969?

Answer: Factors of 6969 are 1, 3, 23, 69, 101, 303, 2323, 6969. There are 8 integers that are factors of 6969. The greatest factor of 6969 is 6969.

Answer:

Least Common Multiple of 6961 and 6969 = 48511209

Step 1: Find the prime factorization of 6961

6961 = 6961

Step 2: Find the prime factorization of 6969

6969 = 3 x 23 x 101

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 48511209 = 3 x 23 x 101 x 6961

Step 4: Therefore, the least common multiple of 6961 and 6969 is 48511209.