Given Numbers are 87, 94

We can find the LCM of 87, 94 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 87 and 94

Multiples of 87 =87,174,261,348,435,522,609,696,783,870,957,1044,1131,1218,1305,1392,1479,

Multiples of 94 =94,188,282,376,470,564,658,752,846,940,1034,1128,1222,1316,1410,1504,1598,

Now, get the least common multiple of 87, 94 which is 8178

So, the LCM of 87, 94 is 8178.

One method for determining the LCM of 87 and 94 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 87's prime factorization:

Prime factors of 87 are 3,29.

87 = 3¹×29¹

And this is 94's prime factorization:

Prime factors of 94 are 2,47.

94 = 2¹×47¹

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: 3,29, 2,47

2¹×3¹×29¹×47¹ = 8178

This shows that the LCM of 87 and 94 is 8178.

The first step in determining the Least Common Multiple of 87 and 94 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 87 and 94:

Lets look at the first ten multiples of these numbers, 87 and 94:

87,174,261,348,435,522,609,696,783,1479 are the first ten multiples of 87.

94,188,282,376,470,564,658,752,846,1598 are the first ten multiples of 94.

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 87 and 94, for example, are 1044, 1479, and 1504. 8178 is the least common multiple since it is the smallest.

87 and 94 have an LCM of 8178.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87 and 94, than apply into the LCM equation.

GCF(87,94) = 1
LCM(87,94) = ( 87 × 94) / 1
LCM(87,94) = 8178 / 1
LCM(87,94) = 8178

1. What is the LCM of 87 and 94?

The LCM of 87 and 94 is 8178.

2. How to find the lowest common multiple of 87 and 94?

To find the lowest common multiple of 87 and 94, we have to get the multip;es of both numbers and identify the least common multiple in them which is 8178.

3. What are the Factors of 87?

Answer: Factors of 87 are 1, 3, 29, 87. There are 4 integers that are factors of 87. The greatest factor of 87 is 87.

4. What are the Factors of 94?

Answer: Factors of 94 are 1, 2, 47, 94. There are 4 integers that are factors of 94. The greatest factor of 94 is 94.

Answer:

Least Common Multiple of 87 and 94 = 8178

Step 1: Find the prime factorization of 87

87 = 3 x 29

Step 2: Find the prime factorization of 94

94 = 2 x 47

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

LCM = 8178 = 2 x 3 x 29 x 47

Step 4: Therefore, the least common multiple of 87 and 94 is 8178.