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LCM of 19 and 23

Created By : Bhagya
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


It is easy to find the LCM of 19 and 23 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 437 as output. Here you can check the answer for Find the LCM of 19 and 23.

 

LCM of:
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What is LCM of 19 and 23

Given Numbers are 19, 23

We can find the LCM of 19, 23 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 19 and 23

Multiples of 19 =19,38,57,76,95,114,133,152,171,190,209,228,247,266,285,304,323,

Multiples of 23 =23,46,69,92,115,138,161,184,207,230,253,276,299,322,345,368,391,

Now, get the least common multiple of 19, 23 which is 437

So, the LCM of 19, 23 is 437.

Least Common Multiple (LCM) of 19 and 23 with the help of Prime Factorisation

One method for determining the LCM of 19 and 23 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 19's prime factorization:


19 19
1

Prime factors of 19 are 19.

19 = 191

And this is 23's prime factorization:


23 23
1

Prime factors of 23 are 23.

23 = 231

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:19,23

.

191×231 = 437

This shows that the LCM of 19 and 23 is 437.

How to Calculate the LCM of 19 and 23 Using Common Multiples

The first step in determining the Least Common Multiple of 19 and 23 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 19 and 23:

Lets look at the first ten multiples of these numbers, 19 and 23:

19,38,57,76,95,114,133,152,171,323 are the first ten multiples of 19.

23,46,69,92,115,138,161,184,207,391 are the first ten multiples of 23.

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 19 and 23, for example, are 228, 323, and 368. 437 is the least common multiple since it is the smallest.

19 and 23 have an LCM of 437.

Least Common Multiple of 19 and 23 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19 and 23, than apply into the LCM equation.

GCF(19,23) = 1
LCM(19,23) = ( 19 × 23) / 1
LCM(19,23) = 437 / 1
LCM(19,23) = 437

Frequently Asked Questions on LCM of 19 and 23

1. What is the LCM of 19 and 23?

The LCM of 19 and 23 is 437.

2. How to find the lowest common multiple of 19 and 23?

To find the lowest common multiple of 19 and 23, we have to get the multip;es of both numbers and identify the least common multiple in them which is 437.

3. What are the Factors of 19?

Answer: Factors of 19 are 1, 19. There are 2 integers that are factors of 19. The greatest factor of 19 is 19.

4. What are the Factors of 23?

Answer: Factors of 23 are 1, 23. There are 2 integers that are factors of 23. The greatest factor of 23 is 23.

5. How to Find the LCM of 19 and 23?

Answer:

Least Common Multiple of 19 and 23 = 437

Step 1: Find the prime factorization of 19

19 = 19

Step 2: Find the prime factorization of 23

23 = 23

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

LCM = 437 = 19 x 23

Step 4: Therefore, the least common multiple of 19 and 23 is 437.