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

You are watching: What is the least common multiple of 14 and 21

1. | LCM of 14 and 21 |

2. | List the Methods |

3. | Solved Examples |

4. | FAQs |

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

**Explanation: **

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

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

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

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

### LCM that 14 and also 21 by Listing Multiples

To calculate the LCM the 14 and 21 through listing the end the typical multiples, we can follow the given listed below steps:

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

**Step 2:**The typical multiples from the multiples of 14 and 21 space 42, 84, . . .

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

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

### LCM that 14 and 21 by department Method

To calculate the LCM of 14 and also 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 also 21.

**Step 3:**continue the measures until only 1s room left in the critical row.

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

**☛ also Check:**

## FAQs ~ above LCM of 14 and 21

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

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

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

The value of LCM the 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 discover the LCM that 14 and also 21 utilizing prime factorization, us will uncover the prime factors, (14 = 2 × 7) and also (21 = 3 × 7). LCM that 14 and also 21 is the product that prime factors raised to your respective highest exponent among the number 14 and 21.⇒ LCM of 14, 21 = 21 × 31 × 71 = 42.

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

The the very least number divisible by 14 and 21 = LCM(14, 21)LCM of 14 and 21 = 2 × 3 × 7

### If the LCM of 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.