LCM of 37 and 42
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 37 and 42 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 1554 as output. Here you can check the answer for Find the LCM of 37 and 42.
What is LCM of 37 and 42
Given Numbers are 37, 42
We can find the LCM of 37, 42 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 37 and 42
Multiples of 37 =37,74,111,148,185,222,259,296,333,370,407,444,481,518,555,592,629,
Multiples of 42 =42,84,126,168,210,252,294,336,378,420,462,504,546,588,630,672,714,
Now, get the least common multiple of 37, 42 which is 1554
So, the LCM of 37, 42 is 1554.
Least Common Multiple (LCM) of 37 and 42 with the help of Prime Factorisation
One method for determining the LCM of 37 and 42 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 37's prime factorization:
| 37 | 37 |
| 1 |
Prime factors of 37 are 37.
37 = 371
And this is 42's prime factorization:
| 2 | 42 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 42 are 2, 3,7.
42 = 21×31×71
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:37, 2, 3,7
.21×31×71×371 = 1554
This shows that the LCM of 37 and 42 is 1554.
How to Calculate the LCM of 37 and 42 Using Common Multiples
The first step in determining the Least Common Multiple of 37 and 42 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 37 and 42:
Lets look at the first ten multiples of these numbers, 37 and 42:
37,74,111,148,185,222,259,296,333,629 are the first ten multiples of 37.
42,84,126,168,210,252,294,336,378,714 are the first ten multiples of 42.
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 37 and 42, for example, are 444, 629, and 672. 1554 is the least common multiple since it is the smallest.
37 and 42 have an LCM of 1554.
Least Common Multiple of 37 and 42 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37 and 42, than apply into the LCM equation.
GCF(37,42) = 1
LCM(37,42) = ( 37 × 42) / 1
LCM(37,42) = 1554 / 1
LCM(37,42) = 1554
Related Least Common Multiples of 37
Related Least Common Multiples of 42
Frequently Asked Questions on LCM of 37 and 42
1. What is the LCM of 37 and 42?
The LCM of 37 and 42 is 1554.
2. How to find the lowest common multiple of 37 and 42?
To find the lowest common multiple of 37 and 42, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1554.
3. What are the Factors of 37?
Answer: Factors of 37 are 1, 37. There are 2 integers that are factors of 37. The greatest factor of 37 is 37.
4. 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.
5. How to Find the LCM of 37 and 42?Answer:
Least Common Multiple of 37 and 42 = 1554
Step 1: Find the prime factorization of 37
37 = 37
Step 2: Find the prime factorization of 42
42 = 2 x 3 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1554 = 2 x 3 x 7 x 37
Step 4: Therefore, the least common multiple of 37 and 42 is 1554.