Given Numbers are 6962, 6967

We can find the LCM of 6962, 6967 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6962 and 6967

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

Multiples of 6967 =6967,13934,20901,27868,34835,41802,48769,55736,62703,69670,76637,83604,90571,97538,104505,111472,118439,

Now, get the least common multiple of 6962, 6967 which is 48504254

So, the LCM of 6962, 6967 is 48504254.

One method for determining the LCM of 6962 and 6967 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 6962's prime factorization:

Prime factors of 6962 are 2,59.

6962 = 2¹×59²

And this is 6967's prime factorization:

Prime factors of 6967 are 6967.

6967 = 6967¹

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: 2,59,6967

2¹×59²×6967¹ = 48504254

This shows that the LCM of 6962 and 6967 is 48504254.

The first step in determining the Least Common Multiple of 6962 and 6967 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6962 and 6967:

Lets look at the first ten multiples of these numbers, 6962 and 6967:

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

6967,13934,20901,27868,34835,41802,48769,55736,62703,118439 are the first ten multiples of 6967.

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 6962 and 6967, for example, are 83544, 118354, and 111472. 48504254 is the least common multiple since it is the smallest.

6962 and 6967 have an LCM of 48504254.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6962 and 6967, than apply into the LCM equation.

GCF(6962,6967) = 1
LCM(6962,6967) = ( 6962 × 6967) / 1
LCM(6962,6967) = 48504254 / 1
LCM(6962,6967) = 48504254

1. What is the LCM of 6962 and 6967?

The LCM of 6962 and 6967 is 48504254.

2. How to find the lowest common multiple of 6962 and 6967?

To find the lowest common multiple of 6962 and 6967, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48504254.

3. 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.

4. What are the Factors of 6967?

Answer: Factors of 6967 are 1, 6967. There are 2 integers that are factors of 6967. The greatest factor of 6967 is 6967.

Answer:

Least Common Multiple of 6962 and 6967 = 48504254

Step 1: Find the prime factorization of 6962

6962 = 2 x 59 x 59

Step 2: Find the prime factorization of 6967

6967 = 6967

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

LCM = 48504254 = 2 x 59 x 59 x 6967

Step 4: Therefore, the least common multiple of 6962 and 6967 is 48504254.