LCM of 4 and 16 is the the smallest number amongst all usual multiples of 4 and also 16. The first couple of multiples of 4 and also 16 are (4, 8, 12, 16, 20, 24, 28, . . . ) and also (16, 32, 48, 64, 80, 96, . . . ) respectively. There are 3 commonly used techniques to discover LCM the 4 and 16 - by listing multiples, by division method, and by element factorization.

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

Answer: LCM of 4 and 16 is 16.

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Explanation:

The LCM of two non-zero integers, x(4) and y(16), is the smallest optimistic integer m(16) the is divisible by both x(4) and also y(16) without any kind of remainder.


Let's look at the various methods because that finding the LCM the 4 and 16.

By Listing MultiplesBy element Factorization MethodBy division Method

LCM that 4 and also 16 through Listing Multiples

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To calculate the LCM of 4 and 16 by listing the end the common multiples, we can follow the given listed below steps:

Step 1: perform a couple of multiples of 4 (4, 8, 12, 16, 20, 24, 28, . . . ) and 16 (16, 32, 48, 64, 80, 96, . . . . )Step 2: The typical multiples native the multiples the 4 and 16 space 16, 32, . . .Step 3: The smallest typical multiple of 4 and 16 is 16.

∴ The least usual multiple that 4 and also 16 = 16.

LCM the 4 and also 16 by prime Factorization

Prime administer of 4 and 16 is (2 × 2) = 22 and also (2 × 2 × 2 × 2) = 24 respectively. LCM of 4 and also 16 can be derived by multiplying prime determinants raised to their respective highest power, i.e. 24 = 16.Hence, the LCM the 4 and also 16 by element factorization is 16.

LCM that 4 and also 16 by division Method

To calculate the LCM the 4 and 16 by the division method, we will certainly divide the numbers(4, 16) by your prime factors (preferably common). The product of these divisors provides the LCM that 4 and also 16.

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

The LCM of 4 and also 16 is the product of every prime numbers on the left, i.e. LCM(4, 16) by division method = 2 × 2 × 2 × 2 = 16.

☛ additionally Check:


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FAQs on LCM of 4 and also 16

What is the LCM of 4 and also 16?

The LCM that 4 and also 16 is 16. To discover the least typical multiple (LCM) that 4 and 16, we require to discover the multiples the 4 and also 16 (multiples that 4 = 4, 8, 12, 16; multiples the 16 = 16, 32, 48, 64) and choose the the smallest multiple that is precisely divisible by 4 and also 16, i.e., 16.

How to uncover the LCM the 4 and also 16 by prime Factorization?

To uncover the LCM of 4 and also 16 utilizing prime factorization, us will find the prime factors, (4 = 2 × 2) and (16 = 2 × 2 × 2 × 2). LCM that 4 and also 16 is the product of prime factors raised to their respective greatest exponent amongst the numbers 4 and 16.⇒ LCM the 4, 16 = 24 = 16.

What is the the very least Perfect Square Divisible by 4 and also 16?

The least number divisible through 4 and 16 = LCM(4, 16)LCM the 4 and 16 = 2 × 2 × 2 × 2 ⇒ the very least perfect square divisible by each 4 and also 16 = 16 Therefore, 16 is the forced number.

If the LCM the 16 and 4 is 16, uncover its GCF.

LCM(16, 4) × GCF(16, 4) = 16 × 4Since the LCM that 16 and also 4 = 16⇒ 16 × GCF(16, 4) = 64Therefore, the greatest typical factor (GCF) = 64/16 = 4.

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What is the Relation between GCF and LCM of 4, 16?

The complying with equation can be offered to express the relation in between GCF and LCM the 4 and 16, i.e. GCF × LCM = 4 × 16.