LCM that 4 and also 6 is the smallest number amongst all common multiples the 4 and also 6. The first few multiples of 4 and also 6 room (4, 8, 12, 16, 20, 24, . . . ) and also (6, 12, 18, 24, . . . ) respectively. There room 3 frequently used techniques to uncover LCM that 4 and 6 - by listing multiples, by element factorization, and also by department method.

You are watching: What is the least common multiple of 6 and 4

1. | LCM that 4 and also 6 |

2. | List that Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM that 4 and 6 is 12.

**Explanation: **

The LCM of two non-zero integers, x(4) and also y(6), is the smallest optimistic integer m(12) the is divisible through both x(4) and also y(6) without any kind of remainder.

The methods to uncover the LCM of 4 and 6 are defined below.

By Listing MultiplesBy element Factorization MethodBy department Method### LCM that 4 and also 6 by Listing Multiples

To calculation the LCM the 4 and 6 through listing out the typical multiples, we can follow the given below steps:

**Step 1:**list a couple of multiples the 4 (4, 8, 12, 16, 20, 24, . . . ) and also 6 (6, 12, 18, 24, . . . . )

**Step 2:**The common multiples native the multiples of 4 and also 6 room 12, 24, . . .

**Step 3:**The smallest typical multiple that 4 and 6 is 12.

∴ The least usual multiple that 4 and 6 = 12.

### LCM the 4 and also 6 by prime Factorization

Prime factorization of 4 and also 6 is (2 × 2) = 22 and also (2 × 3) = 21 × 31 respectively. LCM that 4 and 6 deserve to be acquired by multiply prime factors raised to their respective highest possible power, i.e. 22 × 31 = 12.Hence, the LCM of 4 and also 6 by prime factorization is 12.

### LCM the 4 and also 6 by division Method

To calculate the LCM the 4 and also 6 by the department method, we will divide the numbers(4, 6) by their prime factors (preferably common). The product of this divisors provides the LCM that 4 and also 6.

**Step 3:**proceed the steps until just 1s space left in the last row.

The LCM that 4 and also 6 is the product of all prime numbers on the left, i.e. LCM(4, 6) by division method = 2 × 2 × 3 = 12.

**☛ likewise Check:**

## FAQs ~ above LCM of 4 and also 6

### What is the LCM the 4 and also 6?

The **LCM that 4 and also 6 is 12**. To discover the least common multiple (LCM) that 4 and 6, we require to find the multiples the 4 and also 6 (multiples of 4 = 4, 8, 12, 16; multiples that 6 = 6, 12, 18, 24) and also choose the the smallest multiple the is precisely divisible by 4 and also 6, i.e., 12.

### If the LCM that 6 and 4 is 12, find its GCF.

LCM(6, 4) × GCF(6, 4) = 6 × 4Since the LCM that 6 and 4 = 12⇒ 12 × GCF(6, 4) = 24Therefore, the GCF = 24/12 = 2.

### What is the Relation between GCF and also LCM that 4, 6?

The following equation can be offered to to express the relation between GCF and LCM of 4 and 6, i.e. GCF × LCM = 4 × 6.

See more: If The Denominator Is 0 Is It Undefined, Division By Zero

### What is the least Perfect Square Divisible through 4 and also 6?

The least number divisible through 4 and also 6 = LCM(4, 6)LCM that 4 and 6 = 2 × 2 × 3

### What are the techniques to discover LCM of 4 and 6?

The typically used approaches to uncover the **LCM that 4 and also 6** are: