LCM the 12 and 36 is the the smallest number amongst all common multiples the 12 and also 36. The first couple of multiples of 12 and 36 room (12, 24, 36, 48, 60, 72, 84, . . . ) and (36, 72, 108, 144, 180, 216, 252, . . . ) respectively. There room 3 generally used techniques to find LCM of 12 and 36 - through listing multiples, by prime factorization, and also by department method.

You are watching: Least common factor of 12 and 36

1.LCM the 12 and also 36
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM the 12 and 36 is 36.

*

Explanation:

The LCM of two non-zero integers, x(12) and y(36), is the smallest confident integer m(36) that is divisible by both x(12) and also y(36) without any remainder.


The techniques to discover the LCM of 12 and also 36 are described below.

By element Factorization MethodBy division MethodBy Listing Multiples

LCM the 12 and also 36 by element Factorization

Prime administrate of 12 and also 36 is (2 × 2 × 3) = 22 × 31 and (2 × 2 × 3 × 3) = 22 × 32 respectively. LCM of 12 and 36 can be derived by multiplying prime determinants raised to your respective highest power, i.e. 22 × 32 = 36.Hence, the LCM the 12 and 36 by prime factorization is 36.

LCM of 12 and also 36 by department Method

*

To calculate the LCM of 12 and 36 by the division method, we will certainly divide the numbers(12, 36) by their prime components (preferably common). The product of these divisors offers the LCM the 12 and 36.

Step 3: proceed the actions until only 1s space left in the critical row.

The LCM the 12 and also 36 is the product of every prime numbers on the left, i.e. LCM(12, 36) by department method = 2 × 2 × 3 × 3 = 36.

LCM the 12 and also 36 by Listing Multiples

To calculation the LCM the 12 and also 36 by listing the end the common multiples, we have the right to follow the given listed below steps:

Step 1: perform a couple of multiples that 12 (12, 24, 36, 48, 60, 72, 84, . . . ) and also 36 (36, 72, 108, 144, 180, 216, 252, . . . . )Step 2: The common multiples indigenous the multiples of 12 and also 36 space 36, 72, . . .Step 3: The smallest common multiple the 12 and also 36 is 36.

∴ The least common multiple of 12 and also 36 = 36.

☛ also Check:


Example 1: Verify the relationship in between GCF and LCM that 12 and 36.

Solution:

The relation between GCF and also LCM the 12 and also 36 is provided as,LCM(12, 36) × GCF(12, 36) = Product the 12, 36Prime administrate of 12 and 36 is provided as, 12 = (2 × 2 × 3) = 22 × 31 and 36 = (2 × 2 × 3 × 3) = 22 × 32LCM(12, 36) = 36GCF(12, 36) = 12LHS = LCM(12, 36) × GCF(12, 36) = 36 × 12 = 432RHS = Product the 12, 36 = 12 × 36 = 432⇒ LHS = RHS = 432Hence, verified.


Example 3: discover the smallest number the is divisible by 12 and also 36 exactly.

Solution:

The the smallest number that is divisible by 12 and 36 specifically is your LCM.⇒ Multiples that 12 and 36:

Multiples that 12 = 12, 24, 36, 48, 60, 72, . . . .Multiples the 36 = 36, 72, 108, 144, 180, 216, . . . .

Therefore, the LCM the 12 and 36 is 36.


Show equipment >

go come slidego to slidego come slide


*


FAQs top top LCM that 12 and 36

What is the LCM the 12 and also 36?

The LCM that 12 and also 36 is 36. To uncover the LCM (least common multiple) of 12 and 36, we require to discover the multiples of 12 and also 36 (multiples of 12 = 12, 24, 36, 48; multiples the 36 = 36, 72, 108, 144) and choose the smallest multiple the is specifically divisible by 12 and 36, i.e., 36.

What room the methods to find LCM that 12 and also 36?

The frequently used methods to discover the LCM of 12 and 36 are:

Division MethodPrime administrate MethodListing Multiples

Which the the adhering to is the LCM the 12 and 36? 2, 25, 5, 36

The worth of LCM of 12, 36 is the smallest usual multiple that 12 and also 36. The number solve the given problem is 36.

If the LCM of 36 and 12 is 36, uncover its GCF.

LCM(36, 12) × GCF(36, 12) = 36 × 12Since the LCM that 36 and also 12 = 36⇒ 36 × GCF(36, 12) = 432Therefore, the GCF (greatest usual factor) = 432/36 = 12.

See more: How To Install A Harmonic Balancer Chevy 350, Harmonic Balancer Installation

What is the Relation in between GCF and also LCM that 12, 36?

The complying with equation deserve to be offered to to express the relation in between GCF and LCM that 12 and 36, i.e. GCF × LCM = 12 × 36.