LCM that 14 and 21 is the the smallest number among all usual multiples of 14 and also 21. The first few multiples of 14 and also 21 are (14, 28, 42, 56, . . . ) and (21, 42, 63, 84, . . . ) respectively. There are 3 frequently used methods to discover LCM that 14 and 21 - through listing multiples, by element factorization, and by division method.

You are watching: Least common multiple of 14 and 21

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

Answer: LCM the 14 and 21 is 42.

*

Explanation:

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


Let's look at the various methods for finding the LCM the 14 and 21.

By element Factorization MethodBy Listing MultiplesBy department Method

LCM that 14 and 21 by prime Factorization

Prime administer of 14 and also 21 is (2 × 7) = 21 × 71 and (3 × 7) = 31 × 71 respectively. LCM that 14 and 21 deserve to be acquired by multiplying prime determinants raised to your respective greatest power, i.e. 21 × 31 × 71 = 42.Hence, the LCM that 14 and 21 by prime factorization is 42.

LCM of 14 and also 21 through Listing Multiples

*

To calculate the LCM that 14 and also 21 by listing the end the usual multiples, we deserve to follow the given below steps:

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

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

LCM the 14 and 21 by division Method

*

To calculation the LCM of 14 and 21 through the division method, we will certainly divide the numbers(14, 21) by your prime factors (preferably common). The product of these divisors provides the LCM the 14 and also 21.

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

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

☛ additionally Check:


*


FAQs ~ above LCM of 14 and also 21

What is the LCM the 14 and 21?

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

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

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

How to uncover the LCM of 14 and also 21 by element Factorization?

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

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

The least number divisible by 14 and 21 = LCM(14, 21)LCM the 14 and also 21 = 2 × 3 × 7 ⇒ 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 of 21 and also 14 is 42, find its GCF.

See more: Is Little Caesars Open On Christmas Eve, Little Caesar'S Pizza Holiday Hours

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