Given Numbers are 6956, 6962

We can find the LCM of 6956, 6962 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6956 and 6962

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

Multiples of 6962 =6962,13924,20886,27848,34810,41772,48734,55696,62658,69620,76582,83544,90506,97468,104430,111392,118354,

Now, get the least common multiple of 6956, 6962 which is 24213836

So, the LCM of 6956, 6962 is 24213836.

One method for determining the LCM of 6956 and 6962 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 6962's prime factorization:

Prime factors of 6962 are 2,59.

6962 = 2¹×59²

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, 37,47,59

2²×37¹×47¹×59² = 24213836

This shows that the LCM of 6956 and 6962 is 24213836.

The first step in determining the Least Common Multiple of 6956 and 6962 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6956 and 6962:

Lets look at the first ten multiples of these numbers, 6956 and 6962:

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

6962,13924,20886,27848,34810,41772,48734,55696,62658,118354 are the first ten multiples of 6962.

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 6962, for example, are 83472, 118252, and 111392. 24213836 is the least common multiple since it is the smallest.

6956 and 6962 have an LCM of 24213836.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6956 and 6962, than apply into the LCM equation.

GCF(6956,6962) = 2
LCM(6956,6962) = ( 6956 × 6962) / 2
LCM(6956,6962) = 48427672 / 2
LCM(6956,6962) = 24213836

1. What is the LCM of 6956 and 6962?

The LCM of 6956 and 6962 is 24213836.

2. How to find the lowest common multiple of 6956 and 6962?

To find the lowest common multiple of 6956 and 6962, we have to get the multip;es of both numbers and identify the least common multiple in them which is 24213836.

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 6962?

Answer: Factors of 6962 are 1, 2, 59, 118, 3481, 6962. There are 6 integers that are factors of 6962. The greatest factor of 6962 is 6962.

Answer:

Least Common Multiple of 6956 and 6962 = 24213836

Step 1: Find the prime factorization of 6956

6956 = 2 x 2 x 37 x 47

Step 2: Find the prime factorization of 6962

6962 = 2 x 59 x 59

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

LCM = 24213836 = 2 x 2 x 37 x 47 x 59 x 59

Step 4: Therefore, the least common multiple of 6956 and 6962 is 24213836.