Given Numbers are 2766, 2772

We can find the LCM of 2766, 2772 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 2766 and 2772

Multiples of 2766 =2766,5532,8298,11064,13830,16596,19362,22128,24894,27660,30426,33192,35958,38724,41490,44256,47022,

Multiples of 2772 =2772,5544,8316,11088,13860,16632,19404,22176,24948,27720,30492,33264,36036,38808,41580,44352,47124,

Now, get the least common multiple of 2766, 2772 which is 1277892

So, the LCM of 2766, 2772 is 1277892.

One method for determining the LCM of 2766 and 2772 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 2766's prime factorization:

Prime factors of 2766 are 2, 3,461.

2766 = 2¹×3¹×461¹

And this is 2772's prime factorization:

Prime factors of 2772 are 2, 3, 7,11.

2772 = 2²×3²×7¹×11¹

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, 3,461, 7,11

2²×3²×7¹×11¹×461¹ = 1277892

This shows that the LCM of 2766 and 2772 is 1277892.

The first step in determining the Least Common Multiple of 2766 and 2772 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 2766 and 2772:

Lets look at the first ten multiples of these numbers, 2766 and 2772:

2766,5532,8298,11064,13830,16596,19362,22128,24894,47022 are the first ten multiples of 2766.

2772,5544,8316,11088,13860,16632,19404,22176,24948,47124 are the first ten multiples of 2772.

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 2766 and 2772, for example, are 33192, 47022, and 44352. 1277892 is the least common multiple since it is the smallest.

2766 and 2772 have an LCM of 1277892.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2766 and 2772, than apply into the LCM equation.

GCF(2766,2772) = 6
LCM(2766,2772) = ( 2766 × 2772) / 6
LCM(2766,2772) = 7667352 / 6
LCM(2766,2772) = 1277892

1. What is the LCM of 2766 and 2772?

The LCM of 2766 and 2772 is 1277892.

2. How to find the lowest common multiple of 2766 and 2772?

To find the lowest common multiple of 2766 and 2772, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1277892.

3. What are the Factors of 2766?

Answer: Factors of 2766 are 1, 2, 3, 6, 461, 922, 1383, 2766. There are 8 integers that are factors of 2766. The greatest factor of 2766 is 2766.

4. What are the Factors of 2772?

Answer: Factors of 2772 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386, 2772. There are 36 integers that are factors of 2772. The greatest factor of 2772 is 2772.

Answer:

Least Common Multiple of 2766 and 2772 = 1277892

Step 1: Find the prime factorization of 2766

2766 = 2 x 3 x 461

Step 2: Find the prime factorization of 2772

2772 = 2 x 2 x 3 x 3 x 7 x 11

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

LCM = 1277892 = 2 x 2 x 3 x 3 x 7 x 11 x 461

Step 4: Therefore, the least common multiple of 2766 and 2772 is 1277892.