LCM of 6 and 8 is the the smallest number amongst all usual multiples of 6 and also 8. The first couple of multiples the 6 and 8 room (6, 12, 18, 24, 30, 36, 42, . . . ) and (8, 16, 24, 32, . . . ) respectively. There space 3 typically used approaches to uncover LCM that 6 and also 8 - by element factorization, by division method, and by listing multiples.

You are watching: Least common factor of 6 and 8

1. | LCM that 6 and 8 |

2. | List that Methods |

3. | Solved Examples |

4. | FAQs |

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

**Explanation: **

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

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

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

Prime administer of 6 and also 8 is (2 × 3) = 21 × 31 and also (2 × 2 × 2) = 23 respectively. LCM the 6 and 8 have the right to be acquired by multiply prime components raised to your respective highest power, i.e. 23 × 31 = 24.Hence, the LCM of 6 and also 8 by prime factorization is 24.

### LCM the 6 and also 8 by Listing Multiples

To calculation the LCM that 6 and 8 through listing the end the common multiples, we deserve to follow the given below steps:

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

**Step 2:**The usual multiples native the multiples the 6 and also 8 room 24, 48, . . .

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

∴ The least common multiple of 6 and 8 = 24.

### LCM of 6 and 8 by department Method

To calculation the LCM that 6 and also 8 through the division method, we will divide the numbers(6, 8) by your prime factors (preferably common). The product of this divisors provides the LCM of 6 and also 8.

**Step 3:**proceed the actions until only 1s room left in the critical row.

The LCM that 6 and 8 is the product of every prime numbers on the left, i.e. LCM(6, 8) by division method = 2 × 2 × 2 × 3 = 24.

**☛ likewise Check:**

## FAQs on LCM the 6 and 8

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

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

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

The least number divisible by 6 and 8 = LCM(6, 8)LCM of 6 and 8 = 2 × 2 × 2 × 3

### Which the the complying with is the LCM of 6 and 8? 15, 42, 24, 28

The worth of LCM of 6, 8 is the smallest typical multiple that 6 and 8. The number to solve the given condition is 24.

### If the LCM that 8 and 6 is 24, find its GCF.

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

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### How to discover the LCM the 6 and 8 by prime Factorization?

To find the LCM of 6 and also 8 using prime factorization, we will find the prime factors, (6 = 2 × 3) and also (8 = 2 × 2 × 2). LCM that 6 and also 8 is the product that prime components raised to your respective greatest exponent amongst the number 6 and also 8.⇒ LCM of 6, 8 = 23 × 31 = 24.