Given Numbers are 85, 91

We can find the LCM of 85, 91 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 85 and 91

Multiples of 85 =85,170,255,340,425,510,595,680,765,850,935,1020,1105,1190,1275,1360,1445,

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 85, 91 which is 7735

So, the LCM of 85, 91 is 7735.

One method for determining the LCM of 85 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 85's prime factorization:

Prime factors of 85 are 5,17.

85 = 5¹×17¹

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: 5,17, 7,13

5¹×7¹×13¹×17¹ = 7735

This shows that the LCM of 85 and 91 is 7735.

The first step in determining the Least Common Multiple of 85 and 91 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 85 and 91:

Lets look at the first ten multiples of these numbers, 85 and 91:

85,170,255,340,425,510,595,680,765,1445 are the first ten multiples of 85.

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 85 and 91, for example, are 1020, 1445, and 1456. 7735 is the least common multiple since it is the smallest.

85 and 91 have an LCM of 7735.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85 and 91, than apply into the LCM equation.

GCF(85,91) = 1
LCM(85,91) = ( 85 × 91) / 1
LCM(85,91) = 7735 / 1
LCM(85,91) = 7735

1. What is the LCM of 85 and 91?

The LCM of 85 and 91 is 7735.

2. How to find the lowest common multiple of 85 and 91?

To find the lowest common multiple of 85 and 91, we have to get the multip;es of both numbers and identify the least common multiple in them which is 7735.

3. What are the Factors of 85?

Answer: Factors of 85 are 1, 5, 17, 85. There are 4 integers that are factors of 85. The greatest factor of 85 is 85.

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 85 and 91 = 7735

Step 1: Find the prime factorization of 85

85 = 5 x 17

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 = 7735 = 5 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 85 and 91 is 7735.