LCM the 14 and also 21 is the smallest number amongst all usual multiples of 14 and also 21. The first couple of multiples the 14 and 21 are (14, 28, 42, 56, . . . ) and (21, 42, 63, 84, . . . ) respectively. There room 3 typically used methods to uncover LCM the 14 and also 21 - by listing multiples, by prime factorization, and by department method.

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1.LCM the 14 and also 21
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM the 14 and 21 is 42.

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Explanation:

The LCM of two non-zero integers, x(14) and y(21), is the smallest optimistic integer m(42) that is divisible by both x(14) and also y(21) without any type of remainder.


Let's look at the different methods for finding the LCM that 14 and also 21.

By prime Factorization MethodBy Listing MultiplesBy division Method

LCM of 14 and also 21 by prime Factorization

Prime factorization of 14 and also 21 is (2 × 7) = 21 × 71 and (3 × 7) = 31 × 71 respectively. LCM that 14 and also 21 deserve to be derived by multiplying prime components raised to their respective highest possible power, i.e. 21 × 31 × 71 = 42.Hence, the LCM of 14 and 21 by element factorization is 42.

LCM that 14 and also 21 through Listing Multiples

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To calculation the LCM the 14 and also 21 through listing the end the typical multiples, we have the right to follow the given below steps:

Step 1: list a couple of multiples the 14 (14, 28, 42, 56, . . . ) and also 21 (21, 42, 63, 84, . . . . )Step 2: The common multiples indigenous the multiples of 14 and also 21 are 42, 84, . . .Step 3: The smallest typical multiple of 14 and 21 is 42.

∴ The least typical multiple of 14 and also 21 = 42.

LCM of 14 and also 21 by division Method

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To calculation the LCM the 14 and 21 through the department method, we will divide the numbers(14, 21) by their prime components (preferably common). The product of these divisors offers the LCM that 14 and 21.

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

The LCM that 14 and also 21 is the product of every prime number on the left, i.e. LCM(14, 21) by division method = 2 × 3 × 7 = 42.

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FAQs on LCM of 14 and also 21

What is the LCM the 14 and also 21?

The LCM that 14 and 21 is 42. To discover the least usual multiple (LCM) of 14 and 21, we need to discover the multiples that 14 and 21 (multiples the 14 = 14, 28, 42, 56; multiples of 21 = 21, 42, 63, 84) and also choose the smallest multiple that is exactly divisible by 14 and also 21, i.e., 42.

Which the the adhering to is the LCM that 14 and 21? 11, 3, 12, 42

The value of LCM that 14, 21 is the smallest common multiple that 14 and also 21. The number to solve the given problem is 42.

How to uncover the LCM that 14 and 21 by prime Factorization?

To uncover the LCM the 14 and also 21 using prime factorization, us will discover the prime factors, (14 = 2 × 7) and also (21 = 3 × 7). LCM the 14 and also 21 is the product of prime determinants raised to their respective highest exponent amongst the number 14 and also 21.⇒ LCM that 14, 21 = 21 × 31 × 71 = 42.

What is the least Perfect Square Divisible by 14 and also 21?

The least number divisible by 14 and also 21 = LCM(14, 21)LCM the 14 and also 21 = 2 × 3 × 7 ⇒ the very least perfect square divisible by every 14 and also 21 = LCM(14, 21) × 2 × 3 × 7 = 1764 Therefore, 1764 is the compelled number.

If the LCM the 21 and 14 is 42, find its GCF.

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LCM(21, 14) × GCF(21, 14) = 21 × 14Since the LCM the 21 and also 14 = 42⇒ 42 × GCF(21, 14) = 294Therefore, the GCF = 294/42 = 7.