LCM of 6 and also 21 is the smallest number among all typical multiples the 6 and also 21. The first few multiples of 6 and 21 are (6, 12, 18, 24, 30, 36, . . . ) and (21, 42, 63, 84, 105, . . . ) respectively. There room 3 generally used techniques to uncover LCM that 6 and also 21 - through listing multiples, by division method, and also by prime factorization.

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1. | LCM of 6 and also 21 |

2. | List the Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM that 6 and 21 is 42.

**Explanation: **

The LCM of two non-zero integers, x(6) and also y(21), is the smallest optimistic integer m(42) the is divisible by both x(6) and y(21) without any kind of remainder.

The approaches to uncover the LCM that 6 and 21 are defined below.

By Listing MultiplesBy prime Factorization MethodBy division Method### LCM that 6 and 21 by Listing Multiples

To calculate the LCM that 6 and also 21 by listing the end the usual multiples, we can follow the given below steps:

**Step 1:**perform a couple of multiples that 6 (6, 12, 18, 24, 30, 36, . . . ) and 21 (21, 42, 63, 84, 105, . . . . )

**Step 2:**The usual multiples indigenous the multiples the 6 and also 21 space 42, 84, . . .

**Step 3:**The smallest usual multiple the 6 and also 21 is 42.

∴ The least typical multiple the 6 and 21 = 42.

### LCM the 6 and also 21 by prime Factorization

Prime administrate of 6 and 21 is (2 × 3) = 21 × 31 and (3 × 7) = 31 × 71 respectively. LCM the 6 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 6 and 21 by element factorization is 42.

### LCM the 6 and also 21 by department Method

To calculate the LCM that 6 and 21 by the department method, we will certainly divide the numbers(6, 21) by your prime factors (preferably common). The product of these divisors gives the LCM of 6 and 21.

**Step 3:**continue the actions until just 1s room left in the last row.

The LCM the 6 and also 21 is the product of every prime number on the left, i.e. LCM(6, 21) by division method = 2 × 3 × 7 = 42.

**☛ also Check:**

## FAQs ~ above LCM of 6 and 21

### What is the LCM of 6 and also 21?

The **LCM the 6 and 21 is 42**. To discover the least common multiple of 6 and 21, we require to uncover the multiples the 6 and 21 (multiples the 6 = 6, 12, 18, 24 . . . . 42; multiples of 21 = 21, 42, 63, 84) and also choose the the smallest multiple that is precisely divisible through 6 and also 21, i.e., 42.

### What is the Relation between GCF and LCM the 6, 21?

The following equation can be provided to express the relation between GCF and LCM the 6 and also 21, i.e. GCF × LCM = 6 × 21.

### How to discover the LCM that 6 and also 21 by prime Factorization?

To find the LCM the 6 and 21 utilizing prime factorization, us will find the prime factors, (6 = 2 × 3) and also (21 = 3 × 7). LCM that 6 and 21 is the product the prime determinants raised to your respective highest exponent among the number 6 and also 21.⇒ LCM the 6, 21 = 21 × 31 × 71 = 42.

### Which that the complying with is the LCM that 6 and 21? 20, 42, 30, 12

The value of LCM of 6, 21 is the smallest common multiple that 6 and also 21. The number satisfying the given problem is 42.

### If the LCM of 21 and 6 is 42, uncover its GCF.

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LCM(21, 6) × GCF(21, 6) = 21 × 6Since the LCM of 21 and also 6 = 42⇒ 42 × GCF(21, 6) = 126Therefore, the GCF (greatest usual factor) = 126/42 = 3.