LCM of 6 and 12

LCM of 6 and 12 is 12. Among all common multiples of 6 and 12, the LCM of 6 and 12 is the smallest value. (6, 12, 18, 24,…) and (12, 24, 36, 48,…) are the first few multiples of 6 and 12. Listing multiples, division technique, and prime factorization are three typical methods for calculating the LCM of 6 and 12. The LCM of Two Numbers is the value that is evenly divisible by both of them in Mathematics.

Also read: Least common multiple

What is LCM of 6 and 12?

The answer to this question is 12. The LCM of 6 and 12 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 6 and 12, is the smallest positive integer 12 which is divisible by both 6 and 12 with no remainder.

How to Find LCM of 6 and 12?

LCM of 6 and 12 can be found using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 6 and 12 Using Prime Factorisation Method

The prime factorisation of 6 and 12, respectively, is given by:

6 = (2 × 3) = 2¹ × 3¹

and

12 = (2 × 2 × 3) = 2² × 3¹

LCM (6, 12) = 12

LCM of 6 and 12 Using Division Method

We’ll divide the numbers (6, 12) by their prime factors to get the LCM of 6 and 12 using the division method (preferably common). The LCM of 6 and 12 is calculated by multiplying these divisors.

No further division can be done.

Hence, LCM (6, 12) = 12

LCM of 6 and 12 Using Listing the Multiples

To calculate the LCM of 6 and 12 by listing out the common multiples, list the multiples as shown below:

The smallest common multiple of 6 and 12 is 12.

LCM (6, 12) = 12

Related Articles

• Prime Factorization and Division Method for LCM and HCF
• Prime Factors

• Properties of HCF and LCM
• LCM Formula

Video Lesson on Applications of LCM

LCM of 6 and 12 Solved Example

The GCD and LCM of two numbers are 6 and 12 respectively. If one number is 6, find the other number.

Solution:

Let the other number be a.

∵ GCD × LCM = 6 × a

⇒ a = (GCD × LCM)/6

⇒ a = (6 × 12)/6

⇒ a = 12

Therefore, the other number is 12.