LCM the 6 and 8 is the the smallest number among all common multiples the 6 and 8. The first few multiples that 6 and also 8 are (6, 12, 18, 24, 30, 36, 42, . . . ) and also (8, 16, 24, 32, . . . ) respectively. There room 3 commonly used methods to discover LCM the 6 and 8 - by prime factorization, by division method, and by listing multiples.

You are watching: Lowest common multiple of 6 and 8

1. | LCM that 6 and 8 |

2. | List that Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM the 6 and 8 is 24.

**Explanation: **

The LCM of two non-zero integers, x(6) and y(8), is the smallest optimistic integer m(24) that is divisible by both x(6) and y(8) without any remainder.

Let's look at the various methods for finding the LCM of 6 and also 8.

By prime Factorization MethodBy Listing MultiplesBy division Method### LCM of 6 and also 8 by element Factorization

Prime administrate of 6 and 8 is (2 × 3) = 21 × 31 and also (2 × 2 × 2) = 23 respectively. LCM the 6 and also 8 can be obtained by multiply prime factors raised to your respective greatest power, i.e. 23 × 31 = 24.Hence, the LCM the 6 and 8 by element factorization is 24.

### LCM of 6 and 8 through Listing Multiples

To calculation the LCM the 6 and 8 through listing the end the usual multiples, we can follow the given listed below steps:

**Step 1:**perform a few multiples that 6 (6, 12, 18, 24, 30, 36, 42, . . . ) and also 8 (8, 16, 24, 32, . . . . )

**Step 2:**The common multiples from the multiples of 6 and also 8 room 24, 48, . . .

**Step 3:**The smallest usual multiple of 6 and also 8 is 24.

∴ The least usual multiple that 6 and 8 = 24.

### LCM that 6 and 8 by division Method

To calculation the LCM that 6 and 8 by the department method, we will divide the numbers(6, 8) by their prime determinants (preferably common). The product of these divisors gives the LCM the 6 and also 8.

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

The LCM that 6 and also 8 is the product of all prime number on the left, i.e. LCM(6, 8) by department method = 2 × 2 × 2 × 3 = 24.

**☛ also Check:**

## FAQs ~ above LCM of 6 and 8

### What is the LCM the 6 and also 8?

The **LCM that 6 and 8 is 24**. To uncover the least usual multiple (LCM) that 6 and 8, we need to find the multiples the 6 and 8 (multiples that 6 = 6, 12, 18, 24; multiples that 8 = 8, 16, 24, 32) and also choose the smallest multiple the is precisely divisible by 6 and also 8, i.e., 24.

### What is the the very least Perfect Square Divisible through 6 and 8?

The the very least number divisible through 6 and 8 = LCM(6, 8)LCM that 6 and 8 = 2 × 2 × 2 × 3

### Which of the adhering to is the LCM the 6 and 8? 15, 42, 24, 28

The value of LCM of 6, 8 is the smallest common multiple the 6 and 8. The number satisfying the given condition is 24.

### If the LCM of 8 and also 6 is 24, uncover its GCF.

LCM(8, 6) × GCF(8, 6) = 8 × 6Since the LCM of 8 and also 6 = 24⇒ 24 × GCF(8, 6) = 48Therefore, the greatest usual factor (GCF) = 48/24 = 2.

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### How to uncover the LCM of 6 and also 8 by element Factorization?

To uncover the LCM of 6 and 8 utilizing prime factorization, us will discover the prime factors, (6 = 2 × 3) and (8 = 2 × 2 × 2). LCM the 6 and 8 is the product that prime factors raised to your respective highest exponent amongst the number 6 and also 8.⇒ LCM of 6, 8 = 23 × 31 = 24.