LCM of 20 and 36 is the smallest number amongst all typical multiples of 20 and 36. The first few multiples of 20 and 36 space (20, 40, 60, 80, 100, . . . ) and also (36, 72, 108, 144, 180, 216, . . . ) respectively. There room 3 typically used approaches to uncover LCM of 20 and 36 - by division method, by prime factorization, and by listing multiples.

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

Answer: LCM the 20 and also 36 is 180.

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Explanation:

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


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

By prime Factorization MethodBy department MethodBy Listing Multiples

LCM that 20 and 36 by prime Factorization

Prime administer of 20 and 36 is (2 × 2 × 5) = 22 × 51 and also (2 × 2 × 3 × 3) = 22 × 32 respectively. LCM of 20 and 36 deserve to be acquired by multiply prime determinants raised to their respective greatest power, i.e. 22 × 32 × 51 = 180.Hence, the LCM of 20 and also 36 by prime factorization is 180.

LCM the 20 and also 36 by department Method

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

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

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

LCM of 20 and also 36 by Listing Multiples

To calculate the LCM that 20 and also 36 by listing out the common multiples, we have the right to follow the given listed below steps:

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

∴ The least common multiple of 20 and also 36 = 180.

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FAQs on LCM that 20 and 36

What is the LCM that 20 and also 36?

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

What room the approaches to uncover LCM of 20 and 36?

The frequently used methods to discover the LCM of 20 and also 36 are:

Listing MultiplesPrime factorization MethodDivision Method

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

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

If the LCM of 36 and also 20 is 180, find 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.

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

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