LCM the 4 and 6 is the the smallest number amongst all common multiples that 4 and 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 space 3 typically used techniques to uncover LCM of 4 and also 6 - through listing multiples, by element factorization, and also by division method.

You are watching: Lowest common multiple of 4 and 6

 1 LCM of 4 and also 6 2 List of Methods 3 Solved Examples 4 FAQs

Answer: LCM the 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 by both x(4) and y(6) without any kind of remainder.

The approaches to find the LCM of 4 and also 6 are described below.

By Listing MultiplesBy element Factorization MethodBy department Method

### LCM that 4 and 6 through Listing Multiples

To calculation the LCM the 4 and 6 by listing the end the usual multiples, we deserve to follow the given below steps:

Step 1: list a couple of multiples the 4 (4, 8, 12, 16, 20, 24, . . . ) and 6 (6, 12, 18, 24, . . . . )Step 2: The usual multiples native the multiples the 4 and 6 space 12, 24, . . .Step 3: The smallest usual multiple of 4 and 6 is 12.

∴ The least common multiple the 4 and also 6 = 12.

### LCM of 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 of 4 and 6 deserve to be derived by multiplying prime components raised to their respective highest possible power, i.e. 22 × 31 = 12.Hence, the LCM the 4 and 6 by prime factorization is 12.

### LCM that 4 and 6 by division Method

To calculation the LCM of 4 and 6 through the division method, we will certainly divide the numbers(4, 6) by your prime components (preferably common). The product of these divisors provides the LCM the 4 and 6.

Step 3: continue the actions until just 1s are left in the critical row.

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

## FAQs ~ above LCM that 4 and 6

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

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

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

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

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

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

See more: How To Get Broken Needle Out Of Skin : First Aid, Foreign Object In The Skin: First Aid

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

The the very least number divisible by 4 and also 6 = LCM(4, 6)LCM the 4 and also 6 = 2 × 2 × 3 ⇒ the very least perfect square divisible by every 4 and also 6 = LCM(4, 6) × 3 = 36 Therefore, 36 is the compelled number.

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

The generally used methods to find the LCM that 4 and also 6 are: