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

You are watching: What is the lcm of 14 and 21

1. | LCM of 14 and 21 |

2. | List the Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM of 14 and also 21 is 42.

**Explanation: **

The LCM of 2 non-zero integers, x(14) and y(21), is the smallest confident integer m(42) that is divisible by both x(14) and y(21) without any remainder.

Let's look in ~ the different methods for finding the LCM of 14 and also 21.

By prime Factorization MethodBy Listing MultiplesBy division Method### LCM the 14 and 21 by prime Factorization

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

### LCM of 14 and also 21 through Listing Multiples

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

**Step 1:**perform a few multiples that 14 (14, 28, 42, 56, . . . ) and 21 (21, 42, 63, 84, . . . . )

**Step 2:**The usual multiples from the multiples that 14 and also 21 are 42, 84, . . .

**Step 3:**The smallest common multiple that 14 and also 21 is 42.

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

### LCM that 14 and 21 by department Method

To calculate the LCM of 14 and 21 by the division method, we will certainly divide the numbers(14, 21) by their prime components (preferably common). The product of these divisors offers the LCM of 14 and 21.

**Step 3:**continue the procedures until only 1s space left in the critical row.

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

**☛ also Check:**

## FAQs top top LCM the 14 and 21

### What is the LCM of 14 and 21?

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

### Which the the complying with is the LCM that 14 and also 21? 11, 3, 12, 42

The worth of LCM that 14, 21 is the smallest typical multiple of 14 and 21. The number solve the given condition is 42.

### How to find the LCM the 14 and also 21 by prime Factorization?

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

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

The least number divisible through 14 and 21 = LCM(14, 21)LCM of 14 and also 21 = 2 × 3 × 7

### If the LCM of 21 and 14 is 42, discover its GCF.

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