LCM of 4 and 6 is the smallest number among all typical multiples of 4 and also 6. The first few multiples that 4 and also 6 are (4, 8, 12, 16, 20, 24, . . . ) and (6, 12, 18, 24, . . . ) respectively. There space 3 frequently used methods to discover LCM the 4 and also 6 - by listing multiples, by prime factorization, and also by department method.

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

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

Answer: LCM that 4 and also 6 is 12.

*

Explanation:

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


The methods to discover the LCM that 4 and also 6 are defined below.

By Listing MultiplesBy element Factorization MethodBy department Method

LCM the 4 and 6 by Listing Multiples

*

To calculate the LCM the 4 and also 6 by listing the end the usual multiples, we can follow the given listed below steps:

Step 1: perform a few multiples of 4 (4, 8, 12, 16, 20, 24, . . . ) and 6 (6, 12, 18, 24, . . . . )Step 2: The common multiples from the multiples the 4 and 6 room 12, 24, . . .Step 3: The smallest typical multiple the 4 and also 6 is 12.

∴ The least common multiple of 4 and 6 = 12.

LCM that 4 and 6 by prime Factorization

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

LCM of 4 and 6 by department Method

*

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

Step 3: continue the procedures until only 1s room left in the critical row.

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

☛ additionally Check:


*


FAQs ~ above LCM of 4 and also 6

What is the LCM that 4 and 6?

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

If the LCM that 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 between GCF and also LCM the 4, 6?

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

See more: Mario And Sonic At The Mushroom World, Mushroom Planet

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

The the very least number divisible by 4 and also 6 = LCM(4, 6)LCM that 4 and 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 also 6?

The commonly used techniques to uncover the LCM the 4 and also 6 are: