LCM of 12 and also 18 is the smallest number amongst all common multiples of 12 and 18. The first few multiples of 12 and also 18 are (12, 24, 36, 48, 60, 72, 84, . . . ) and (18, 36, 54, 72, . . . ) respectively. There room 3 typically used methods to uncover LCM that 12 and also 18 - by listing multiples, by prime factorization, and also by department method.

You are watching: What is the lcm of 12 and 18

1.LCM of 12 and 18
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM the 12 and also 18 is 36.

*

Explanation:

The LCM of two non-zero integers, x(12) and y(18), is the smallest hopeful integer m(36) that is divisible by both x(12) and y(18) without any type of remainder.


Let's look in ~ the various methods because that finding the LCM the 12 and also 18.

By department MethodBy prime Factorization MethodBy Listing Multiples

LCM that 12 and 18 by department Method

*

To calculation the LCM of 12 and also 18 by the division method, we will divide the numbers(12, 18) by your prime determinants (preferably common). The product of these divisors offers the LCM the 12 and 18.

Step 3: proceed the steps until only 1s are left in the critical row.

The LCM of 12 and 18 is the product of all prime numbers on the left, i.e. LCM(12, 18) by division method = 2 × 2 × 3 × 3 = 36.

LCM that 12 and 18 by element Factorization

Prime administer of 12 and 18 is (2 × 2 × 3) = 22 × 31 and (2 × 3 × 3) = 21 × 32 respectively. LCM of 12 and 18 deserve to be derived by multiply prime factors raised to their respective highest power, i.e. 22 × 32 = 36.Hence, the LCM of 12 and 18 by element factorization is 36.

LCM of 12 and 18 by Listing Multiples

*

To calculation the LCM of 12 and 18 by listing the end the typical multiples, we have the right to follow the given below steps:

Step 1: list a couple of multiples the 12 (12, 24, 36, 48, 60, 72, 84, . . . ) and also 18 (18, 36, 54, 72, . . . . )Step 2: The usual multiples native the multiples of 12 and also 18 room 36, 72, . . .Step 3: The smallest common multiple the 12 and 18 is 36.

∴ The least common multiple that 12 and 18 = 36.

☛ also Check:


*


FAQs ~ above LCM the 12 and also 18

What is the LCM the 12 and 18?

The LCM of 12 and also 18 is 36. To uncover the LCM (least common multiple) the 12 and also 18, we need to find the multiples that 12 and 18 (multiples of 12 = 12, 24, 36, 48; multiples the 18 = 18, 36, 54, 72) and choose the smallest multiple that is exactly divisible by 12 and 18, i.e., 36.

What is the the very least Perfect Square Divisible by 12 and 18?

The least number divisible through 12 and 18 = LCM(12, 18)LCM the 12 and also 18 = 2 × 2 × 3 × 3 ⇒ least perfect square divisible by each 12 and 18 = 36 Therefore, 36 is the required number.

If the LCM that 18 and also 12 is 36, uncover its GCF.

LCM(18, 12) × GCF(18, 12) = 18 × 12Since the LCM the 18 and also 12 = 36⇒ 36 × GCF(18, 12) = 216Therefore, the greatest common factor (GCF) = 216/36 = 6.

How to uncover the LCM the 12 and also 18 by prime Factorization?

To discover the LCM of 12 and 18 making use of prime factorization, we will find the element factors, (12 = 2 × 2 × 3) and (18 = 2 × 3 × 3). LCM of 12 and also 18 is the product that prime factors raised to your respective greatest exponent among the numbers 12 and also 18.⇒ LCM of 12, 18 = 22 × 32 = 36.

See more: Apa Citation For Silver Linings Playbook, Citation Styles For Silver Linings Playbook

Which that the following is the LCM the 12 and 18? 36, 10, 12, 2

The value of LCM of 12, 18 is the smallest common multiple the 12 and also 18. The number solve the given problem is 36.