LCM that 10 and 20 is the smallest number amongst all usual multiples the 10 and 20. The first few multiples the 10 and also 20 room (10, 20, 30, 40, 50, 60, . . . ) and (20, 40, 60, 80, 100, . . . ) respectively. There space 3 typically used methods to uncover LCM of 10 and also 20 - by element factorization, by department method, and by listing multiples.

You are watching: What is the lowest common multiple of 10 and 20

1.LCM of 10 and also 20
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM the 10 and also 20 is 20.

*

Explanation:

The LCM of two non-zero integers, x(10) and also y(20), is the smallest positive integer m(20) the is divisible through both x(10) and y(20) without any type of remainder.


Let's look in ~ the various methods because that finding the LCM of 10 and also 20.

By division MethodBy element Factorization MethodBy Listing Multiples

LCM that 10 and also 20 by division Method

*

To calculate the LCM the 10 and 20 through the division method, we will certainly divide the numbers(10, 20) by your prime determinants (preferably common). The product of these divisors offers the LCM the 10 and also 20.

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

The LCM that 10 and 20 is the product of all prime number on the left, i.e. LCM(10, 20) by division method = 2 × 2 × 5 = 20.

LCM of 10 and 20 by prime Factorization

Prime administrate of 10 and 20 is (2 × 5) = 21 × 51 and also (2 × 2 × 5) = 22 × 51 respectively. LCM that 10 and also 20 can be obtained by multiply prime components raised to your respective highest possible power, i.e. 22 × 51 = 20.Hence, the LCM that 10 and 20 by prime factorization is 20.

LCM of 10 and 20 by Listing Multiples

*

To calculate the LCM the 10 and also 20 by listing out the usual multiples, we have the right to follow the given listed below steps:

Step 1: perform a few multiples the 10 (10, 20, 30, 40, 50, 60, . . . ) and also 20 (20, 40, 60, 80, 100, . . . . )Step 2: The usual multiples native the multiples of 10 and 20 space 20, 40, . . .Step 3: The smallest usual multiple of 10 and also 20 is 20.

∴ The least common multiple that 10 and 20 = 20.

☛ also Check:


*


FAQs top top LCM of 10 and 20

What is the LCM the 10 and 20?

The LCM the 10 and 20 is 20. To uncover the least typical multiple that 10 and also 20, we require to discover the multiples of 10 and 20 (multiples the 10 = 10, 20, 30, 40; multiples that 20 = 20, 40, 60, 80) and choose the the smallest multiple the is precisely divisible by 10 and 20, i.e., 20.

If the LCM the 20 and also 10 is 20, uncover its GCF.

LCM(20, 10) × GCF(20, 10) = 20 × 10Since the LCM that 20 and also 10 = 20⇒ 20 × GCF(20, 10) = 200Therefore, the GCF (greatest usual factor) = 200/20 = 10.

What room the approaches to uncover LCM of 10 and 20?

The commonly used approaches to discover the LCM of 10 and 20 are:

Division MethodPrime factorization MethodListing Multiples

Which the the adhering to is the LCM the 10 and also 20? 11, 20, 2, 32

The worth of LCM of 10, 20 is the smallest usual multiple the 10 and also 20. The number solve the given problem is 20.

See more: What Is The Minimum Height Of A Binary Tree S Part 1, Minimum Depth Of Binary Tree

What is the the very least Perfect Square Divisible by 10 and also 20?

The least number divisible by 10 and also 20 = LCM(10, 20)LCM of 10 and also 20 = 2 × 2 × 5 ⇒ least perfect square divisible by every 10 and also 20 = LCM(10, 20) × 5 = 100 Therefore, 100 is the compelled number.