Given Numbers are 6960, 6967

We can find the LCM of 6960, 6967 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6960 and 6967

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

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 6960, 6967 which is 48490320

So, the LCM of 6960, 6967 is 48490320.

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

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

6960 = 2⁴×3¹×5¹×29¹

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, 3, 5,29,6967

2⁴×3¹×5¹×29¹×6967¹ = 48490320

This shows that the LCM of 6960 and 6967 is 48490320.

The first step in determining the Least Common Multiple of 6960 and 6967 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6960 and 6967:

Lets look at the first ten multiples of these numbers, 6960 and 6967:

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

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 6960 and 6967, for example, are 83520, 118320, and 111472. 48490320 is the least common multiple since it is the smallest.

6960 and 6967 have an LCM of 48490320.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6960 and 6967, than apply into the LCM equation.

GCF(6960,6967) = 1
LCM(6960,6967) = ( 6960 × 6967) / 1
LCM(6960,6967) = 48490320 / 1
LCM(6960,6967) = 48490320

1. What is the LCM of 6960 and 6967?

The LCM of 6960 and 6967 is 48490320.

2. How to find the lowest common multiple of 6960 and 6967?

To find the lowest common multiple of 6960 and 6967, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48490320.

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 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 6960 and 6967 = 48490320

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 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 = 48490320 = 2 x 2 x 2 x 2 x 3 x 5 x 29 x 6967

Step 4: Therefore, the least common multiple of 6960 and 6967 is 48490320.