LCM that 6 and also 12 is the the smallest number among all common multiples that 6 and 12. The first few multiples the 6 and also 12 are (6, 12, 18, 24, . . . ) and also (12, 24, 36, 48, . . . ) respectively. There space 3 typically used methods to find LCM that 6 and 12 - by listing multiples, by department method, and by prime factorization.

You are watching: Least common multiple of 12 and 6

1.LCM the 6 and also 12
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM that 6 and 12 is 12.

*

Explanation:

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


The methods to find the LCM of 6 and 12 are explained below.

By element Factorization MethodBy Listing MultiplesBy division Method

LCM the 6 and also 12 by prime Factorization

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

LCM that 6 and 12 by Listing Multiples

*

To calculation the LCM of 6 and 12 by listing out the usual multiples, we have the right to follow the given below steps:

Step 1: perform a few multiples of 6 (6, 12, 18, 24, . . . ) and also 12 (12, 24, 36, 48, . . . . )Step 2: The common multiples native the multiples that 6 and 12 space 12, 24, . . .Step 3: The smallest typical multiple the 6 and 12 is 12.

∴ The least usual multiple the 6 and 12 = 12.

LCM that 6 and also 12 by division Method

To calculate the LCM of 6 and 12 by the department method, we will divide the numbers(6, 12) by their prime factors (preferably common). The product of this divisors provides the LCM that 6 and 12.

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

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

☛ additionally Check:


*


FAQs top top LCM that 6 and also 12

What is the LCM the 6 and also 12?

The LCM that 6 and 12 is 12. To find the least typical multiple of 6 and 12, we need to discover the multiples of 6 and 12 (multiples the 6 = 6, 12, 18, 24; multiples the 12 = 12, 24, 36, 48) and choose the the smallest multiple that is precisely divisible through 6 and 12, i.e., 12.

What room the techniques to find LCM of 6 and 12?

The commonly used methods to discover the LCM the 6 and 12 are:

Listing MultiplesDivision MethodPrime administrate Method

How to discover the LCM that 6 and 12 by element Factorization?

To find the LCM that 6 and 12 making use of prime factorization, we will find the element factors, (6 = 2 × 3) and also (12 = 2 × 2 × 3). LCM the 6 and 12 is the product that prime components raised to their respective highest possible exponent amongst the numbers 6 and also 12.⇒ LCM that 6, 12 = 22 × 31 = 12.

Which the the adhering to is the LCM that 6 and also 12? 20, 12, 32, 3

The value of LCM of 6, 12 is the smallest typical multiple the 6 and 12. The number satisfying the given condition is 12.

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

See more: How Much Is A Jerry Rice Card Worth ? Jerry Rice Rookie Card Value

LCM(12, 6) × GCF(12, 6) = 12 × 6Since the LCM the 12 and 6 = 12⇒ 12 × GCF(12, 6) = 72Therefore, the GCF (greatest common factor) = 72/12 = 6.