LCM of 12 and also 14 is the smallest number among all common multiples of 12 and also 14. The first few multiples of 12 and also 14 are (12, 24, 36, 48, 60, 72, 84, . . . ) and also (14, 28, 42, 56, 70, 84, . . . ) respectively. There are 3 generally offered methods to uncover LCM of 12 and also 14 - by listing multiples, by department technique, and by prime factorization.

You are watching: Lowest common multiple of 12 and 14

1.LCM of 12 and also 14
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM of 12 and 14 is 84.

*

Explanation:

The LCM of 2 non-zero integers, x(12) and also y(14), is the smallest positive integer m(84) that is divisible by both x(12) and y(14) without any kind of remainder.


The methods to discover the LCM of 12 and also 14 are described listed below.

By Division MethodBy Prime Factorization MethodBy Listing Multiples

LCM of 12 and also 14 by Division Method

*

To calculate the LCM of 12 and 14 by the department strategy, we will certainly divide the numbers(12, 14) by their prime factors (preferably common). The product of these divisors offers the LCM of 12 and 14.

Tip 3: Continue the actions until only 1s are left in the last row.

The LCM of 12 and also 14 is the product of all prime numbers on the left, i.e. LCM(12, 14) by division technique = 2 × 2 × 3 × 7 = 84.

LCM of 12 and 14 by Prime Factorization

Prime factorization of 12 and 14 is (2 × 2 × 3) = 22 × 31 and also (2 × 7) = 21 × 71 respectively. LCM of 12 and also 14 have the right to be obtained by multiplying prime components raised to their particular highest possible power, i.e. 22 × 31 × 71 = 84.Hence, the LCM of 12 and also 14 by prime factorization is 84.

LCM of 12 and also 14 by Listing Multiples

*

To calculate the LCM of 12 and also 14 by listing out the prevalent multiples, we deserve to follow the given below steps:

Tip 1: List a few multiples of 12 (12, 24, 36, 48, 60, 72, 84, . . . ) and also 14 (14, 28, 42, 56, 70, 84, . . . . )Step 2: The prevalent multiples from the multiples of 12 and 14 are 84, 168, . . .Step 3: The smallest prevalent multiple of 12 and also 14 is 84.

∴ The leastern widespread multiple of 12 and 14 = 84.

☛ Also Check:


*


FAQs on LCM of 12 and also 14

What is the LCM of 12 and also 14?

The LCM of 12 and 14 is 84. To find the LCM of 12 and 14, we should discover the multiples of 12 and also 14 (multiples of 12 = 12, 24, 36, 48 . . . . 84; multiples of 14 = 14, 28, 42, 56 . . . . 84) and also pick the smallest multiple that is precisely divisible by 12 and also 14, i.e., 84.

If the LCM of 14 and 12 is 84, Find its GCF.

LCM(14, 12) × GCF(14, 12) = 14 × 12Since the LCM of 14 and also 12 = 84⇒ 84 × GCF(14, 12) = 168Thus, the biggest widespread element (GCF) = 168/84 = 2.

How to Find the LCM of 12 and 14 by Prime Factorization?

To discover the LCM of 12 and also 14 using prime factorization, we will certainly discover the prime components, (12 = 2 × 2 × 3) and also (14 = 2 × 7). LCM of 12 and also 14 is the product of prime factors raised to their corresponding greatest exponent among the numbers 12 and also 14.⇒ LCM of 12, 14 = 22 × 31 × 71 = 84.

What is the Relation Between GCF and also LCM of 12, 14?

The complying with equation deserve to be provided to expush the relation between GCF and LCM of 12 and 14, i.e. GCF × LCM = 12 × 14.

See more: Oh She Glows Almond Milk + Step By Step Photos, Homemade Cashew Milk Recipe And More Dairy

What is the Least Perfect Square Divisible by 12 and 14?

The leastern number divisible by 12 and 14 = LCM(12, 14)LCM of 12 and 14 = 2 × 2 × 3 × 7 ⇒ Leastern perfect square divisible by each 12 and 14 = LCM(12, 14) × 3 × 7 = 1764 As such, 1764 is the forced number.