How to Find the LCM of 172 and 180?

LCM of 172 and 180

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

It is easy to find the LCM of 172 and 180 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 7740 as output. Here you can check the answer for Find the LCM of 172 and 180.

What is LCM of 172 and 180

Given Numbers are 172, 180

We can find the LCM of 172, 180 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 172 and 180

Multiples of 172 =172,344,516,688,860,1032,1204,1376,1548,1720,1892,2064,2236,2408,2580,2752,2924,

Multiples of 180 =180,360,540,720,900,1080,1260,1440,1620,1800,1980,2160,2340,2520,2700,2880,3060,

Now, get the least common multiple of 172, 180 which is 7740

So, the LCM of 172, 180 is 7740.

Least Common Multiple (LCM) of 172 and 180 with the help of Prime Factorisation

One method for determining the LCM of 172 and 180 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 172's prime factorization:

2	172
2	86
43	43
	1

Prime factors of 172 are 2,43.

172 = 2²×43¹

And this is 180's prime factorization:

2	180
2	90
3	45
3	15
5	5
	1

Prime factors of 180 are 2, 3,5.

180 = 2²×3²×5¹

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: 2,43, 3,5

2²×3²×5¹×43¹ = 7740

This shows that the LCM of 172 and 180 is 7740.

How to Calculate the LCM of 172 and 180 Using Common Multiples

The first step in determining the Least Common Multiple of 172 and 180 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 172 and 180:

Lets look at the first ten multiples of these numbers, 172 and 180:

172,344,516,688,860,1032,1204,1376,1548,2924 are the first ten multiples of 172.

180,360,540,720,900,1080,1260,1440,1620,3060 are the first ten multiples of 180.

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 172 and 180, for example, are 2064, 2924, and 2880. 7740 is the least common multiple since it is the smallest.

172 and 180 have an LCM of 7740.

Least Common Multiple of 172 and 180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 172 and 180, than apply into the LCM equation.

GCF(172,180) = 4
LCM(172,180) = ( 172 × 180) / 4
LCM(172,180) = 30960 / 4
LCM(172,180) = 7740

Related Least Common Multiples of 172

Related Least Common Multiples of 180

Frequently Asked Questions on LCM of 172 and 180

1. What is the LCM of 172 and 180?

The LCM of 172 and 180 is 7740.

2. How to find the lowest common multiple of 172 and 180?

To find the lowest common multiple of 172 and 180, we have to get the multip;es of both numbers and identify the least common multiple in them which is 7740.

3. What are the Factors of 172?

Answer: Factors of 172 are 1, 2, 4, 43, 86, 172. There are 6 integers that are factors of 172. The greatest factor of 172 is 172.

4. What are the Factors of 180?

Answer: Factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180. There are 18 integers that are factors of 180. The greatest factor of 180 is 180.