Given Numbers are 71, 76

We can find the LCM of 71, 76 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 71 and 76

Multiples of 71 =71,142,213,284,355,426,497,568,639,710,781,852,923,994,1065,1136,1207,

Multiples of 76 =76,152,228,304,380,456,532,608,684,760,836,912,988,1064,1140,1216,1292,

Now, get the least common multiple of 71, 76 which is 5396

So, the LCM of 71, 76 is 5396.

One method for determining the LCM of 71 and 76 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 71's prime factorization:

Prime factors of 71 are 71.

71 = 71¹

And this is 76's prime factorization:

Prime factors of 76 are 2,19.

76 = 2²×19¹

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:71, 2,19

2²×19¹×71¹ = 5396

This shows that the LCM of 71 and 76 is 5396.

The first step in determining the Least Common Multiple of 71 and 76 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 71 and 76:

Lets look at the first ten multiples of these numbers, 71 and 76:

71,142,213,284,355,426,497,568,639,1207 are the first ten multiples of 71.

76,152,228,304,380,456,532,608,684,1292 are the first ten multiples of 76.

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 71 and 76, for example, are 852, 1207, and 1216. 5396 is the least common multiple since it is the smallest.

71 and 76 have an LCM of 5396.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71 and 76, than apply into the LCM equation.

GCF(71,76) = 1
LCM(71,76) = ( 71 × 76) / 1
LCM(71,76) = 5396 / 1
LCM(71,76) = 5396

1. What is the LCM of 71 and 76?

The LCM of 71 and 76 is 5396.

2. How to find the lowest common multiple of 71 and 76?

To find the lowest common multiple of 71 and 76, we have to get the multip;es of both numbers and identify the least common multiple in them which is 5396.

3. What are the Factors of 71?

Answer: Factors of 71 are 1, 71. There are 2 integers that are factors of 71. The greatest factor of 71 is 71.

4. What are the Factors of 76?

Answer: Factors of 76 are 1, 2, 4, 19, 38, 76. There are 6 integers that are factors of 76. The greatest factor of 76 is 76.

Answer:

Least Common Multiple of 71 and 76 = 5396

Step 1: Find the prime factorization of 71

71 = 71

Step 2: Find the prime factorization of 76

76 = 2 x 2 x 19

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

LCM = 5396 = 2 x 2 x 19 x 71

Step 4: Therefore, the least common multiple of 71 and 76 is 5396.