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

You are watching: Find the lcm of 14 and 21

1. | LCM of 14 and also 21 |

2. | List of Methods |

3. | Solved Examples |

4. | FAQs |

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

**Explanation: **

The LCM of two 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 kind of remainder.

Let's look in ~ the various methods for finding the LCM the 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 also (3 × 7) = 31 × 71 respectively. LCM that 14 and also 21 deserve to be obtained by multiply prime components 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 the 14 and also 21 by Listing Multiples

To calculation the LCM the 14 and 21 by listing out the usual multiples, we deserve to follow the given below steps:

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

**Step 2:**The usual multiples native the multiples the 14 and 21 space 42, 84, . . .

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

∴ The least common multiple the 14 and 21 = 42.

### LCM the 14 and also 21 by division Method

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

**Step 3:**continue the actions until only 1s are left in the last row.

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

**☛ likewise Check:**

## FAQs on LCM that 14 and 21

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

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

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

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

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

To discover the LCM of 14 and 21 making use of prime factorization, us will discover the element factors, (14 = 2 × 7) and (21 = 3 × 7). LCM of 14 and 21 is the product the prime components raised to your respective highest exponent among the numbers 14 and also 21.⇒ LCM the 14, 21 = 21 × 31 × 71 = 42.

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

The the very least number divisible through 14 and also 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 14 = 42⇒ 42 × GCF(21, 14) = 294Therefore, the GCF = 294/42 = 7.