Given Numbers are 42, 47

We can find the LCM of 42, 47 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 42 and 47

Multiples of 42 =42,84,126,168,210,252,294,336,378,420,462,504,546,588,630,672,714,

Multiples of 47 =47,94,141,188,235,282,329,376,423,470,517,564,611,658,705,752,799,

Now, get the least common multiple of 42, 47 which is 1974

So, the LCM of 42, 47 is 1974.

One method for determining the LCM of 42 and 47 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 42's prime factorization:

Prime factors of 42 are 2, 3,7.

42 = 2¹×3¹×7¹

And this is 47's prime factorization:

Prime factors of 47 are 47.

47 = 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: 2, 3,7,47

2¹×3¹×7¹×47¹ = 1974

This shows that the LCM of 42 and 47 is 1974.

The first step in determining the Least Common Multiple of 42 and 47 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 42 and 47:

Lets look at the first ten multiples of these numbers, 42 and 47:

42,84,126,168,210,252,294,336,378,714 are the first ten multiples of 42.

47,94,141,188,235,282,329,376,423,799 are the first ten multiples of 47.

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 42 and 47, for example, are 504, 714, and 752. 1974 is the least common multiple since it is the smallest.

42 and 47 have an LCM of 1974.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42 and 47, than apply into the LCM equation.

GCF(42,47) = 1
LCM(42,47) = ( 42 × 47) / 1
LCM(42,47) = 1974 / 1
LCM(42,47) = 1974

1. What is the LCM of 42 and 47?

The LCM of 42 and 47 is 1974.

2. How to find the lowest common multiple of 42 and 47?

To find the lowest common multiple of 42 and 47, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1974.

3. What are the Factors of 42?

Answer: Factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42. There are 8 integers that are factors of 42. The greatest factor of 42 is 42.

4. What are the Factors of 47?

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

Answer:

Least Common Multiple of 42 and 47 = 1974

Step 1: Find the prime factorization of 42

42 = 2 x 3 x 7

Step 2: Find the prime factorization of 47

47 = 47

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

LCM = 1974 = 2 x 3 x 7 x 47

Step 4: Therefore, the least common multiple of 42 and 47 is 1974.