LCM of 20 and also 36 is the smallest number among all common multiples that 20 and 36. The first few multiples of 20 and also 36 space (20, 40, 60, 80, 100, . . . ) and also (36, 72, 108, 144, 180, 216, . . . ) respectively. There room 3 commonly used methods to uncover LCM of 20 and 36 - by division method, by element factorization, and also by listing multiples.

You are watching: What is the lcm of 20 and 36

1.LCM of 20 and 36
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM of 20 and 36 is 180.

*

Explanation:

The LCM of 2 non-zero integers, x(20) and also y(36), is the smallest positive integer m(180) that is divisible through both x(20) and y(36) without any remainder.


Let's look in ~ the different methods for finding the LCM that 20 and 36.

By prime Factorization MethodBy department MethodBy Listing Multiples

LCM the 20 and 36 by prime Factorization

Prime administrate of 20 and 36 is (2 × 2 × 5) = 22 × 51 and also (2 × 2 × 3 × 3) = 22 × 32 respectively. LCM the 20 and also 36 can be derived by multiply prime components raised to your respective greatest power, i.e. 22 × 32 × 51 = 180.Hence, the LCM of 20 and also 36 by prime factorization is 180.

LCM that 20 and 36 by division Method

*

To calculate the LCM that 20 and also 36 by the division method, we will certainly divide the numbers(20, 36) by your prime factors (preferably common). The product of these divisors provides the LCM of 20 and 36.

Step 3: continue the procedures until only 1s are left in the critical row.

The LCM the 20 and 36 is the product of every prime number on the left, i.e. LCM(20, 36) by department method = 2 × 2 × 3 × 3 × 5 = 180.

LCM that 20 and 36 through Listing Multiples

To calculation the LCM that 20 and also 36 by listing out the typical multiples, we can follow the given below steps:

Step 1: perform a few multiples of 20 (20, 40, 60, 80, 100, . . . ) and 36 (36, 72, 108, 144, 180, 216, . . . . )Step 2: The typical multiples from the multiples of 20 and also 36 space 180, 360, . . .Step 3: The smallest usual multiple of 20 and 36 is 180.

∴ The least usual multiple that 20 and also 36 = 180.

☛ also Check:


*


FAQs top top LCM that 20 and 36

What is the LCM that 20 and 36?

The LCM the 20 and 36 is 180. To discover the least usual multiple (LCM) the 20 and also 36, we require to uncover the multiples the 20 and also 36 (multiples the 20 = 20, 40, 60, 80 . . . . 180; multiples of 36 = 36, 72, 108, 144 . . . . 180) and also choose the the smallest multiple that is specifically divisible by 20 and also 36, i.e., 180.

What are the approaches to find LCM the 20 and 36?

The frequently used techniques to discover the LCM that 20 and also 36 are:

Listing MultiplesPrime administrate MethodDivision Method

What is the the very least Perfect Square Divisible by 20 and also 36?

The the very least number divisible by 20 and 36 = LCM(20, 36)LCM that 20 and 36 = 2 × 2 × 3 × 3 × 5 ⇒ least perfect square divisible by each 20 and also 36 = LCM(20, 36) × 5 = 900 Therefore, 900 is the forced number.

If the LCM the 36 and also 20 is 180, uncover its GCF.

LCM(36, 20) × GCF(36, 20) = 36 × 20Since the LCM the 36 and also 20 = 180⇒ 180 × GCF(36, 20) = 720Therefore, the greatest typical factor = 720/180 = 4.

See more: What Does The Music Represent In The Masque Of The Red Death

How to discover the LCM that 20 and also 36 by element Factorization?

To discover the LCM the 20 and also 36 making use of prime factorization, us will find the prime factors, (20 = 2 × 2 × 5) and also (36 = 2 × 2 × 3 × 3). LCM that 20 and 36 is the product of prime factors raised to their respective greatest exponent amongst the number 20 and 36.⇒ LCM the 20, 36 = 22 × 32 × 51 = 180.