Given Numbers are 6965, 6970

We can find the LCM of 6965, 6970 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6965 and 6970

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

Multiples of 6970 =6970,13940,20910,27880,34850,41820,48790,55760,62730,69700,76670,83640,90610,97580,104550,111520,118490,

Now, get the least common multiple of 6965, 6970 which is 9709210

So, the LCM of 6965, 6970 is 9709210.

One method for determining the LCM of 6965 and 6970 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 6965's prime factorization:

Prime factors of 6965 are 5, 7,199.

6965 = 5¹×7¹×199¹

And this is 6970's prime factorization:

Prime factors of 6970 are 2, 5, 17,41.

6970 = 2¹×5¹×17¹×41¹

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: 5, 7,199, 2, 17,41

2¹×5¹×7¹×17¹×41¹×199¹ = 9709210

This shows that the LCM of 6965 and 6970 is 9709210.

The first step in determining the Least Common Multiple of 6965 and 6970 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6965 and 6970:

Lets look at the first ten multiples of these numbers, 6965 and 6970:

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

6970,13940,20910,27880,34850,41820,48790,55760,62730,118490 are the first ten multiples of 6970.

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 6965 and 6970, for example, are 83580, 118405, and 111520. 9709210 is the least common multiple since it is the smallest.

6965 and 6970 have an LCM of 9709210.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6965 and 6970, than apply into the LCM equation.

GCF(6965,6970) = 5
LCM(6965,6970) = ( 6965 × 6970) / 5
LCM(6965,6970) = 48546050 / 5
LCM(6965,6970) = 9709210

1. What is the LCM of 6965 and 6970?

The LCM of 6965 and 6970 is 9709210.

2. How to find the lowest common multiple of 6965 and 6970?

To find the lowest common multiple of 6965 and 6970, we have to get the multip;es of both numbers and identify the least common multiple in them which is 9709210.

3. 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.

4. What are the Factors of 6970?

Answer: Factors of 6970 are 1, 2, 5, 10, 17, 34, 41, 82, 85, 170, 205, 410, 697, 1394, 3485, 6970. There are 16 integers that are factors of 6970. The greatest factor of 6970 is 6970.

Answer:

Least Common Multiple of 6965 and 6970 = 9709210

Step 1: Find the prime factorization of 6965

6965 = 5 x 7 x 199

Step 2: Find the prime factorization of 6970

6970 = 2 x 5 x 17 x 41

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

LCM = 9709210 = 2 x 5 x 7 x 17 x 41 x 199

Step 4: Therefore, the least common multiple of 6965 and 6970 is 9709210.