Given Numbers are 6960, 6965

We can find the LCM of 6960, 6965 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6960 and 6965

Multiples of 6960 =6960,13920,20880,27840,34800,41760,48720,55680,62640,69600,76560,83520,90480,97440,104400,111360,118320,

Multiples of 6965 =6965,13930,20895,27860,34825,41790,48755,55720,62685,69650,76615,83580,90545,97510,104475,111440,118405,

Now, get the least common multiple of 6960, 6965 which is 9695280

So, the LCM of 6960, 6965 is 9695280.

One method for determining the LCM of 6960 and 6965 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 6960's prime factorization:

Prime factors of 6960 are 2, 3, 5,29.

6960 = 2⁴×3¹×5¹×29¹

And this is 6965's prime factorization:

Prime factors of 6965 are 5, 7,199.

6965 = 5¹×7¹×199¹

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, 3, 5,29, 7,199

2⁴×3¹×5¹×7¹×29¹×199¹ = 9695280

This shows that the LCM of 6960 and 6965 is 9695280.

The first step in determining the Least Common Multiple of 6960 and 6965 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6960 and 6965:

Lets look at the first ten multiples of these numbers, 6960 and 6965:

6960,13920,20880,27840,34800,41760,48720,55680,62640,118320 are the first ten multiples of 6960.

6965,13930,20895,27860,34825,41790,48755,55720,62685,118405 are the first ten multiples of 6965.

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 6960 and 6965, for example, are 83520, 118320, and 111440. 9695280 is the least common multiple since it is the smallest.

6960 and 6965 have an LCM of 9695280.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6960 and 6965, than apply into the LCM equation.

GCF(6960,6965) = 5
LCM(6960,6965) = ( 6960 × 6965) / 5
LCM(6960,6965) = 48476400 / 5
LCM(6960,6965) = 9695280

1. What is the LCM of 6960 and 6965?

The LCM of 6960 and 6965 is 9695280.

2. How to find the lowest common multiple of 6960 and 6965?

To find the lowest common multiple of 6960 and 6965, we have to get the multip;es of both numbers and identify the least common multiple in them which is 9695280.

3. What are the Factors of 6960?

Answer: Factors of 6960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480, 6960. There are 40 integers that are factors of 6960. The greatest factor of 6960 is 6960.

4. What are the Factors of 6965?

Answer: Factors of 6965 are 1, 5, 7, 35, 199, 995, 1393, 6965. There are 8 integers that are factors of 6965. The greatest factor of 6965 is 6965.

Answer:

Least Common Multiple of 6960 and 6965 = 9695280

Step 1: Find the prime factorization of 6960

6960 = 2 x 2 x 2 x 2 x 3 x 5 x 29

Step 2: Find the prime factorization of 6965

6965 = 5 x 7 x 199

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

LCM = 9695280 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 29 x 199

Step 4: Therefore, the least common multiple of 6960 and 6965 is 9695280.