How to Find the LCM of 262 and 270?

LCM of 262 and 270

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

It is easy to find the LCM of 262 and 270 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 35370 as output. Here you can check the answer for Find the LCM of 262 and 270.

What is LCM of 262 and 270

Given Numbers are 262, 270

We can find the LCM of 262, 270 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 262 and 270

Multiples of 262 =262,524,786,1048,1310,1572,1834,2096,2358,2620,2882,3144,3406,3668,3930,4192,4454,

Multiples of 270 =270,540,810,1080,1350,1620,1890,2160,2430,2700,2970,3240,3510,3780,4050,4320,4590,

Now, get the least common multiple of 262, 270 which is 35370

So, the LCM of 262, 270 is 35370.

Least Common Multiple (LCM) of 262 and 270 with the help of Prime Factorisation

One method for determining the LCM of 262 and 270 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 262's prime factorization:

2	262
131	131
	1

Prime factors of 262 are 2,131.

262 = 2¹×131¹

And this is 270's prime factorization:

2	270
3	135
3	45
3	15
5	5
	1

Prime factors of 270 are 2, 3,5.

270 = 2¹×3³×5¹

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: 2,131, 3,5

2¹×3³×5¹×131¹ = 35370

This shows that the LCM of 262 and 270 is 35370.

How to Calculate the LCM of 262 and 270 Using Common Multiples

The first step in determining the Least Common Multiple of 262 and 270 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 262 and 270:

Lets look at the first ten multiples of these numbers, 262 and 270:

262,524,786,1048,1310,1572,1834,2096,2358,4454 are the first ten multiples of 262.

270,540,810,1080,1350,1620,1890,2160,2430,4590 are the first ten multiples of 270.

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 262 and 270, for example, are 3144, 4454, and 4320. 35370 is the least common multiple since it is the smallest.

262 and 270 have an LCM of 35370.

Least Common Multiple of 262 and 270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 262 and 270, than apply into the LCM equation.

GCF(262,270) = 2
LCM(262,270) = ( 262 × 270) / 2
LCM(262,270) = 70740 / 2
LCM(262,270) = 35370

Related Least Common Multiples of 262

Related Least Common Multiples of 270

Frequently Asked Questions on LCM of 262 and 270

1. What is the LCM of 262 and 270?

The LCM of 262 and 270 is 35370.

2. How to find the lowest common multiple of 262 and 270?

To find the lowest common multiple of 262 and 270, we have to get the multip;es of both numbers and identify the least common multiple in them which is 35370.

3. What are the Factors of 262?

Answer: Factors of 262 are 1, 2, 131, 262. There are 4 integers that are factors of 262. The greatest factor of 262 is 262.

4. What are the Factors of 270?

Answer: Factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270. There are 16 integers that are factors of 270. The greatest factor of 270 is 270.