Given Numbers are 6972, 6977

We can find the LCM of 6972, 6977 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6972 and 6977

Multiples of 6972 =6972,13944,20916,27888,34860,41832,48804,55776,62748,69720,76692,83664,90636,97608,104580,111552,118524,

Multiples of 6977 =6977,13954,20931,27908,34885,41862,48839,55816,62793,69770,76747,83724,90701,97678,104655,111632,118609,

Now, get the least common multiple of 6972, 6977 which is 48643644

So, the LCM of 6972, 6977 is 48643644.

One method for determining the LCM of 6972 and 6977 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 6972's prime factorization:

Prime factors of 6972 are 2, 3, 7,83.

6972 = 2²×3¹×7¹×83¹

And this is 6977's prime factorization:

Prime factors of 6977 are 6977.

6977 = 6977¹

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, 7,83,6977

2²×3¹×7¹×83¹×6977¹ = 48643644

This shows that the LCM of 6972 and 6977 is 48643644.

The first step in determining the Least Common Multiple of 6972 and 6977 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6972 and 6977:

Lets look at the first ten multiples of these numbers, 6972 and 6977:

6972,13944,20916,27888,34860,41832,48804,55776,62748,118524 are the first ten multiples of 6972.

6977,13954,20931,27908,34885,41862,48839,55816,62793,118609 are the first ten multiples of 6977.

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 6972 and 6977, for example, are 83664, 118524, and 111632. 48643644 is the least common multiple since it is the smallest.

6972 and 6977 have an LCM of 48643644.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6972 and 6977, than apply into the LCM equation.

GCF(6972,6977) = 1
LCM(6972,6977) = ( 6972 × 6977) / 1
LCM(6972,6977) = 48643644 / 1
LCM(6972,6977) = 48643644

1. What is the LCM of 6972 and 6977?

The LCM of 6972 and 6977 is 48643644.

2. How to find the lowest common multiple of 6972 and 6977?

To find the lowest common multiple of 6972 and 6977, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48643644.

3. What are the Factors of 6972?

Answer: Factors of 6972 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486, 6972. There are 24 integers that are factors of 6972. The greatest factor of 6972 is 6972.

4. What are the Factors of 6977?

Answer: Factors of 6977 are 1, 6977. There are 2 integers that are factors of 6977. The greatest factor of 6977 is 6977.

Answer:

Least Common Multiple of 6972 and 6977 = 48643644

Step 1: Find the prime factorization of 6972

6972 = 2 x 2 x 3 x 7 x 83

Step 2: Find the prime factorization of 6977

6977 = 6977

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

LCM = 48643644 = 2 x 2 x 3 x 7 x 83 x 6977

Step 4: Therefore, the least common multiple of 6972 and 6977 is 48643644.