LCM of 7 and 12

LCM of 7 and 12 is 84. The LCM of any two integers in mathematics is the value that is evenly divisible by the two values. The smallest number among all frequent multiples of 7 and 12 is the LCM of 7 and 12. (7, 14, 21, 28,… ) and (12, 24, 36, 48, 60, 72, 84,… ) are the first few multiples of 7 and 12. To find the LCM of 7 and 12, there are three typical methods: listing multiples, division method, and prime factorization.

Also read: Least common multiple

What is LCM of 7 and 12?

The answer to this question is 84. The LCM of 7 and 12 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 7 and 12, is the smallest positive integer 84 which is divisible by both 7 and 12 with no remainder.

How to Find LCM of 7 and 12?

LCM of 7 and 12 can be found using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 7 and 12 Using Prime Factorisation Method

The prime factorisation of 7 and 12, respectively, is given by:

12 = (2 × 2 × 3) = 2² × 3¹

7 = 7¹

LCM (7, 12) = 84

LCM of 7 and 12 Using Division Method

We’ll divide the numbers (7, 12) by their prime factors to get the LCM of 7 and 12 using the division method (preferably common). The LCM of 7 and 12 is calculated by multiplying these divisors.

No further division can be done.

Hence, LCM (7, 12) = 84

LCM of 7 and 12 Using Listing the Multiples

To calculate the LCM of 7 and 12 by listing out the common multiples, list the multiples as shown below

The smallest common multiple of 7 and 12 is 84.

LCM (7, 12) = 84

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• HCF and LCM
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• LCM calculator
• Prime Factorization Calculator

Video Lesson on Applications of LCM

LCM of 7 and 12 Solved Example

The GCD and LCM of two numbers are 1 and 84 respectively. If one number is 12, find the other number.

Let the other number be a.

∵ GCD × LCM = 12 × a

⇒ a = (GCD × LCM)/12

⇒ a = (1 × 84)/12

⇒ a = 7

Therefore, the other number is 7.