How to Find the LCM of 226 and 234?

LCM of 226 and 234

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

It is easy to find the LCM of 226 and 234 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 26442 as output. Here you can check the answer for Find the LCM of 226 and 234.

What is LCM of 226 and 234

Given Numbers are 226, 234

We can find the LCM of 226, 234 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 226 and 234

Multiples of 226 =226,452,678,904,1130,1356,1582,1808,2034,2260,2486,2712,2938,3164,3390,3616,3842,

Multiples of 234 =234,468,702,936,1170,1404,1638,1872,2106,2340,2574,2808,3042,3276,3510,3744,3978,

Now, get the least common multiple of 226, 234 which is 26442

So, the LCM of 226, 234 is 26442.

Least Common Multiple (LCM) of 226 and 234 with the help of Prime Factorisation

One method for determining the LCM of 226 and 234 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 226's prime factorization:

2	226
113	113
	1

Prime factors of 226 are 2,113.

226 = 2¹×113¹

And this is 234's prime factorization:

2	234
3	117
3	39
13	13
	1

Prime factors of 234 are 2, 3,13.

234 = 2¹×3²×13¹

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: 2,113, 3,13

2¹×3²×13¹×113¹ = 26442

This shows that the LCM of 226 and 234 is 26442.

How to Calculate the LCM of 226 and 234 Using Common Multiples

The first step in determining the Least Common Multiple of 226 and 234 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 226 and 234:

Lets look at the first ten multiples of these numbers, 226 and 234:

226,452,678,904,1130,1356,1582,1808,2034,3842 are the first ten multiples of 226.

234,468,702,936,1170,1404,1638,1872,2106,3978 are the first ten multiples of 234.

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 226 and 234, for example, are 2712, 3842, and 3744. 26442 is the least common multiple since it is the smallest.

226 and 234 have an LCM of 26442.

Least Common Multiple of 226 and 234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 226 and 234, than apply into the LCM equation.

GCF(226,234) = 2
LCM(226,234) = ( 226 × 234) / 2
LCM(226,234) = 52884 / 2
LCM(226,234) = 26442

Related Least Common Multiples of 226

Related Least Common Multiples of 234

Frequently Asked Questions on LCM of 226 and 234

1. What is the LCM of 226 and 234?

The LCM of 226 and 234 is 26442.

2. How to find the lowest common multiple of 226 and 234?

To find the lowest common multiple of 226 and 234, we have to get the multip;es of both numbers and identify the least common multiple in them which is 26442.

3. What are the Factors of 226?

Answer: Factors of 226 are 1, 2, 113, 226. There are 4 integers that are factors of 226. The greatest factor of 226 is 226.

4. What are the Factors of 234?

Answer: Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. There are 12 integers that are factors of 234. The greatest factor of 234 is 234.