Given Numbers are 6956, 6961

We can find the LCM of 6956, 6961 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6956 and 6961

Multiples of 6956 =6956,13912,20868,27824,34780,41736,48692,55648,62604,69560,76516,83472,90428,97384,104340,111296,118252,

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

Now, get the least common multiple of 6956, 6961 which is 48420716

So, the LCM of 6956, 6961 is 48420716.

One method for determining the LCM of 6956 and 6961 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 6956's prime factorization:

Prime factors of 6956 are 2, 37,47.

6956 = 2²×37¹×47¹

And this is 6961's prime factorization:

Prime factors of 6961 are 6961.

6961 = 6961¹

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, 37,47,6961

2²×37¹×47¹×6961¹ = 48420716

This shows that the LCM of 6956 and 6961 is 48420716.

The first step in determining the Least Common Multiple of 6956 and 6961 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6956 and 6961:

Lets look at the first ten multiples of these numbers, 6956 and 6961:

6956,13912,20868,27824,34780,41736,48692,55648,62604,118252 are the first ten multiples of 6956.

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

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 6956 and 6961, for example, are 83472, 118252, and 111376. 48420716 is the least common multiple since it is the smallest.

6956 and 6961 have an LCM of 48420716.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6956 and 6961, than apply into the LCM equation.

GCF(6956,6961) = 1
LCM(6956,6961) = ( 6956 × 6961) / 1
LCM(6956,6961) = 48420716 / 1
LCM(6956,6961) = 48420716

1. What is the LCM of 6956 and 6961?

The LCM of 6956 and 6961 is 48420716.

2. How to find the lowest common multiple of 6956 and 6961?

To find the lowest common multiple of 6956 and 6961, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48420716.

3. What are the Factors of 6956?

Answer: Factors of 6956 are 1, 2, 4, 37, 47, 74, 94, 148, 188, 1739, 3478, 6956. There are 12 integers that are factors of 6956. The greatest factor of 6956 is 6956.

4. 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.

Answer:

Least Common Multiple of 6956 and 6961 = 48420716

Step 1: Find the prime factorization of 6956

6956 = 2 x 2 x 37 x 47

Step 2: Find the prime factorization of 6961

6961 = 6961

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

LCM = 48420716 = 2 x 2 x 37 x 47 x 6961

Step 4: Therefore, the least common multiple of 6956 and 6961 is 48420716.