LCM of 16 and also 18 is the the smallest number among all usual multiples the 16 and also 18. The first couple of multiples the 16 and 18 room (16, 32, 48, 64, 80, 96, 112, . . . ) and also (18, 36, 54, 72, . . . ) respectively. There are 3 commonly used methods to discover LCM that 16 and 18 - by prime factorization, through listing multiples, and by division method.

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1.LCM of 16 and 18
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM the 16 and also 18 is 144.

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Explanation:

The LCM of two non-zero integers, x(16) and y(18), is the smallest positive integer m(144) the is divisible through both x(16) and y(18) without any kind of remainder.


Let's look in ~ the different methods because that finding the LCM that 16 and 18.

By Listing MultiplesBy element Factorization MethodBy division Method

LCM the 16 and 18 through Listing Multiples

To calculate the LCM that 16 and 18 through listing out the usual multiples, we can follow the given listed below steps:

Step 1: list a couple of multiples the 16 (16, 32, 48, 64, 80, 96, 112, . . . ) and also 18 (18, 36, 54, 72, . . . . )Step 2: The typical multiples from the multiples of 16 and also 18 room 144, 288, . . .Step 3: The smallest typical multiple that 16 and also 18 is 144.

∴ The least usual multiple that 16 and also 18 = 144.

LCM of 16 and also 18 by prime Factorization

Prime administer of 16 and 18 is (2 × 2 × 2 × 2) = 24 and (2 × 3 × 3) = 21 × 32 respectively. LCM the 16 and 18 can be acquired by multiply prime components raised to your respective highest possible power, i.e. 24 × 32 = 144.Hence, the LCM that 16 and also 18 by prime factorization is 144.

LCM that 16 and also 18 by division Method

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To calculation the LCM the 16 and 18 by the division method, we will certainly divide the numbers(16, 18) by your prime determinants (preferably common). The product of these divisors gives the LCM of 16 and also 18.

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

The LCM that 16 and also 18 is the product of every prime number on the left, i.e. LCM(16, 18) by division method = 2 × 2 × 2 × 2 × 3 × 3 = 144.

☛ additionally Check:


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FAQs top top LCM that 16 and also 18

What is the LCM of 16 and 18?

The LCM that 16 and also 18 is 144. To find the LCM (least common multiple) the 16 and also 18, we need to uncover the multiples that 16 and also 18 (multiples the 16 = 16, 32, 48, 64 . . . . 144; multiples of 18 = 18, 36, 54, 72 . . . . 144) and choose the the smallest multiple that is exactly divisible through 16 and 18, i.e., 144.

How to uncover the LCM of 16 and also 18 by element Factorization?

To find the LCM that 16 and 18 using prime factorization, we will uncover the element factors, (16 = 2 × 2 × 2 × 2) and (18 = 2 × 3 × 3). LCM the 16 and also 18 is the product the prime determinants raised to their respective greatest exponent amongst the numbers 16 and 18.⇒ LCM that 16, 18 = 24 × 32 = 144.

If the LCM the 18 and 16 is 144, discover its GCF.

LCM(18, 16) × GCF(18, 16) = 18 × 16Since the LCM the 18 and 16 = 144⇒ 144 × GCF(18, 16) = 288Therefore, the greatest common factor = 288/144 = 2.

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What room the methods to uncover LCM the 16 and also 18?

The frequently used techniques to uncover the LCM of 16 and 18 are:

Division MethodListing MultiplesPrime administer Method

Which the the adhering to is the LCM that 16 and 18? 15, 144, 50, 16

The value of LCM of 16, 18 is the smallest usual multiple that 16 and also 18. The number solve the given condition is 144.