Given Numbers are 84, 91

We can find the LCM of 84, 91 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 84 and 91

Multiples of 84 =84,168,252,336,420,504,588,672,756,840,924,1008,1092,1176,1260,1344,1428,

Multiples of 91 =91,182,273,364,455,546,637,728,819,910,1001,1092,1183,1274,1365,1456,1547,

Now, get the least common multiple of 84, 91 which is 1092

So, the LCM of 84, 91 is 1092.

One method for determining the LCM of 84 and 91 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 84's prime factorization:

Prime factors of 84 are 2, 3,7.

84 = 2²×3¹×7¹

And this is 91's prime factorization:

Prime factors of 91 are 7,13.

91 = 7¹×13¹

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, 3,7,13

2²×3¹×7¹×13¹ = 1092

This shows that the LCM of 84 and 91 is 1092.

The first step in determining the Least Common Multiple of 84 and 91 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 84 and 91:

Lets look at the first ten multiples of these numbers, 84 and 91:

84,168,252,336,420,504,588,672,756,1428 are the first ten multiples of 84.

91,182,273,364,455,546,637,728,819,1547 are the first ten multiples of 91.

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 84 and 91, for example, are 1008, 1428, and 1456. 1092 is the least common multiple since it is the smallest.

84 and 91 have an LCM of 1092.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84 and 91, than apply into the LCM equation.

GCF(84,91) = 7
LCM(84,91) = ( 84 × 91) / 7
LCM(84,91) = 7644 / 7
LCM(84,91) = 1092

1. What is the LCM of 84 and 91?

The LCM of 84 and 91 is 1092.

2. How to find the lowest common multiple of 84 and 91?

To find the lowest common multiple of 84 and 91, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1092.

3. What are the Factors of 84?

Answer: Factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84. There are 12 integers that are factors of 84. The greatest factor of 84 is 84.

4. What are the Factors of 91?

Answer: Factors of 91 are 1, 7, 13, 91. There are 4 integers that are factors of 91. The greatest factor of 91 is 91.

Answer:

Least Common Multiple of 84 and 91 = 1092

Step 1: Find the prime factorization of 84

84 = 2 x 2 x 3 x 7

Step 2: Find the prime factorization of 91

91 = 7 x 13

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

LCM = 1092 = 2 x 2 x 3 x 7 x 13

Step 4: Therefore, the least common multiple of 84 and 91 is 1092.