LCM of 14 and 21 is the the smallest number among all common multiples that 14 and also 21. The first couple of multiples the 14 and also 21 are (14, 28, 42, 56, . . . ) and also (21, 42, 63, 84, . . . ) respectively. There room 3 commonly used techniques to uncover LCM of 14 and 21 - through listing multiples, by element factorization, and by department method.

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

Answer: LCM of 14 and also 21 is 42.

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Explanation:

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


Let's look at the various methods because that finding the LCM of 14 and also 21.

By prime Factorization MethodBy Listing MultiplesBy department Method

LCM of 14 and also 21 by element Factorization

Prime administrate of 14 and 21 is (2 × 7) = 21 × 71 and also (3 × 7) = 31 × 71 respectively. LCM the 14 and 21 can be obtained by multiplying prime factors raised to their respective greatest power, i.e. 21 × 31 × 71 = 42.Hence, the LCM that 14 and also 21 by element factorization is 42.

LCM of 14 and 21 by Listing Multiples

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To calculation the LCM of 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 few multiples that 14 (14, 28, 42, 56, . . . ) and also 21 (21, 42, 63, 84, . . . . )Step 2: The typical multiples indigenous the multiples the 14 and also 21 are 42, 84, . . .Step 3: The smallest usual multiple of 14 and 21 is 42.

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

LCM that 14 and also 21 by division Method

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To calculation the LCM that 14 and also 21 through the division method, we will divide the numbers(14, 21) by their prime factors (preferably common). The product of this divisors gives the LCM that 14 and also 21.

Step 3: continue the steps until just 1s space left in the critical row.

The LCM of 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.

☛ additionally Check:


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FAQs ~ above LCM that 14 and 21

What is the LCM that 14 and 21?

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

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

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

How to discover the LCM the 14 and 21 by element Factorization?

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

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

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

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

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