LCM the 18 and 36 is the smallest number among all usual multiples that 18 and also 36. The first couple of multiples that 18 and 36 room (18, 36, 54, 72, 90, 108, . . . ) and (36, 72, 108, 144, 180, 216, 252, . . . ) respectively. There are 3 frequently used approaches to uncover LCM of 18 and also 36 - by division method, by element factorization, and by listing multiples.

You are watching: What is the least common multiple of 36 and 18?

1.LCM of 18 and 36
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM of 18 and 36 is 36.

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Explanation:

The LCM of two non-zero integers, x(18) and also y(36), is the smallest hopeful integer m(36) that is divisible by both x(18) and also y(36) without any remainder.


Let's look at the various methods for finding the LCM of 18 and 36.

By element Factorization MethodBy Listing MultiplesBy division Method

LCM that 18 and also 36 by element Factorization

Prime administrate of 18 and 36 is (2 × 3 × 3) = 21 × 32 and also (2 × 2 × 3 × 3) = 22 × 32 respectively. LCM of 18 and 36 have the right to be derived by multiplying prime components raised to their respective highest power, i.e. 22 × 32 = 36.Hence, the LCM of 18 and 36 by prime factorization is 36.

LCM of 18 and also 36 by Listing Multiples

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To calculate the LCM of 18 and also 36 by listing the end the typical multiples, we have the right to follow the given listed below steps:

Step 1: list a couple of multiples that 18 (18, 36, 54, 72, 90, 108, . . . ) and 36 (36, 72, 108, 144, 180, 216, 252, . . . . )Step 2: The usual multiples from the multiples that 18 and also 36 space 36, 72, . . .Step 3: The smallest common multiple that 18 and also 36 is 36.

∴ The least common multiple the 18 and 36 = 36.

LCM that 18 and 36 by department Method

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To calculate the LCM the 18 and 36 through the department method, we will certainly divide the numbers(18, 36) by your prime factors (preferably common). The product of these divisors gives the LCM of 18 and 36.

Step 3: proceed the actions until only 1s room left in the critical row.

The LCM of 18 and 36 is the product of every prime numbers on the left, i.e. LCM(18, 36) by division method = 2 × 2 × 3 × 3 = 36.

☛ likewise Check:


Example 1: Verify the relationship between GCF and LCM of 18 and 36.

Solution:

The relation between GCF and LCM the 18 and also 36 is offered as,LCM(18, 36) × GCF(18, 36) = Product that 18, 36Prime administer of 18 and also 36 is provided as, 18 = (2 × 3 × 3) = 21 × 32 and also 36 = (2 × 2 × 3 × 3) = 22 × 32LCM(18, 36) = 36GCF(18, 36) = 18LHS = LCM(18, 36) × GCF(18, 36) = 36 × 18 = 648RHS = Product that 18, 36 = 18 × 36 = 648⇒ LHS = RHS = 648Hence, verified.


Example 3: uncover the the smallest number that is divisible through 18 and also 36 exactly.

Solution:

The the smallest number that is divisible by 18 and also 36 specifically is your LCM.⇒ Multiples that 18 and also 36:

Multiples of 18 = 18, 36, 54, 72, 90, . . . .Multiples of 36 = 36, 72, 108, 144, 180, . . . .

Therefore, the LCM that 18 and also 36 is 36.


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FAQs top top LCM of 18 and 36

What is the LCM that 18 and also 36?

The LCM the 18 and also 36 is 36. To uncover the LCM (least typical multiple) that 18 and also 36, we require to uncover the multiples that 18 and also 36 (multiples the 18 = 18, 36, 54, 72; multiples of 36 = 36, 72, 108, 144) and also choose the smallest multiple the is exactly divisible through 18 and also 36, i.e., 36.

Which of the complying with is the LCM that 18 and also 36? 30, 36, 5, 21

The value of LCM of 18, 36 is the smallest usual multiple that 18 and also 36. The number solve the given condition is 36.

How to discover the LCM that 18 and 36 by element Factorization?

To find the LCM the 18 and also 36 utilizing prime factorization, we will discover the prime factors, (18 = 2 × 3 × 3) and also (36 = 2 × 2 × 3 × 3). LCM of 18 and also 36 is the product the prime components raised to your respective highest possible exponent among the numbers 18 and also 36.⇒ LCM the 18, 36 = 22 × 32 = 36.

If the LCM of 36 and also 18 is 36, find its GCF.

LCM(36, 18) × GCF(36, 18) = 36 × 18Since the LCM of 36 and also 18 = 36⇒ 36 × GCF(36, 18) = 648Therefore, the greatest usual factor = 648/36 = 18.

See more: What Is The Gcf Of 18 And 63 Using Factoring, Gcf Of 18 And 63

What is the least Perfect Square Divisible through 18 and 36?

The least number divisible by 18 and also 36 = LCM(18, 36)LCM the 18 and also 36 = 2 × 2 × 3 × 3 ⇒ least perfect square divisible by each 18 and 36 = 36 Therefore, 36 is the forced number.