Given Numbers are 967, 971

We can find the LCM of 967, 971 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 967 and 971

Multiples of 967 =967,1934,2901,3868,4835,5802,6769,7736,8703,9670,10637,11604,12571,13538,14505,15472,16439,

Multiples of 971 =971,1942,2913,3884,4855,5826,6797,7768,8739,9710,10681,11652,12623,13594,14565,15536,16507,

Now, get the least common multiple of 967, 971 which is 938957

So, the LCM of 967, 971 is 938957.

One method for determining the LCM of 967 and 971 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 967's prime factorization:

Prime factors of 967 are 967.

967 = 967¹

And this is 971's prime factorization:

Prime factors of 971 are 971.

971 = 971¹

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:967,971

967¹×971¹ = 938957

This shows that the LCM of 967 and 971 is 938957.

The first step in determining the Least Common Multiple of 967 and 971 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 967 and 971:

Lets look at the first ten multiples of these numbers, 967 and 971:

967,1934,2901,3868,4835,5802,6769,7736,8703,16439 are the first ten multiples of 967.

971,1942,2913,3884,4855,5826,6797,7768,8739,16507 are the first ten multiples of 971.

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 967 and 971, for example, are 11604, 16439, and 15536. 938957 is the least common multiple since it is the smallest.

967 and 971 have an LCM of 938957.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 967 and 971, than apply into the LCM equation.

GCF(967,971) = 1
LCM(967,971) = ( 967 × 971) / 1
LCM(967,971) = 938957 / 1
LCM(967,971) = 938957

1. What is the LCM of 967 and 971?

The LCM of 967 and 971 is 938957.

2. How to find the lowest common multiple of 967 and 971?

To find the lowest common multiple of 967 and 971, we have to get the multip;es of both numbers and identify the least common multiple in them which is 938957.

3. What are the Factors of 967?

Answer: Factors of 967 are 1, 967. There are 2 integers that are factors of 967. The greatest factor of 967 is 967.

4. What are the Factors of 971?

Answer: Factors of 971 are 1, 971. There are 2 integers that are factors of 971. The greatest factor of 971 is 971.

Answer:

Least Common Multiple of 967 and 971 = 938957

Step 1: Find the prime factorization of 967

967 = 967

Step 2: Find the prime factorization of 971

971 = 971

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

LCM = 938957 = 967 x 971

Step 4: Therefore, the least common multiple of 967 and 971 is 938957.