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

You are watching: What is the lcm of 6 and 4

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

Answer: LCM of 4 and also 6 is 12.

*

Explanation:

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


The approaches to uncover the LCM the 4 and also 6 are defined below.

By Listing MultiplesBy element Factorization MethodBy department Method

LCM of 4 and also 6 by Listing Multiples

*

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

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

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

LCM of 4 and 6 by element Factorization

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

LCM of 4 and also 6 by department Method

*

To calculation the LCM that 4 and also 6 through the department method, we will certainly divide the numbers(4, 6) by their prime factors (preferably common). The product of these divisors gives the LCM the 4 and 6.

Step 3: proceed the procedures until only 1s are left in the critical row.

The LCM that 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.

☛ additionally Check:


*


FAQs on LCM that 4 and also 6

What is the LCM that 4 and also 6?

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

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

LCM(6, 4) × GCF(6, 4) = 6 × 4Since the LCM of 6 and also 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 complying with equation deserve to be provided to to express the relation between GCF and LCM the 4 and also 6, i.e. GCF × LCM = 4 × 6.

See more: Need Help! How Many Spark Plugs In A 5.7 Hemi Engines Have 16 Spark Plugs?

What is the least Perfect Square Divisible through 4 and 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 required number.

What space the approaches to uncover LCM that 4 and 6?

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