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LCM of 2 and 2

LCM of 2 and 2 is the smallest number among all multiples of 2. The first few multiples of 2 are (2, 4, 6, 8, 10, . . . ). The commonly used methods to find LCM of 2 and 2 - by division method, and by listing multiples.

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

What is the LCM of 2 and 2?

Answer: LCM of 2 and 2 is 2.

Explanation:

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

Methods to Find LCM of 2 and 2

The methods to find the LCM of 2 and 2 are explained below.

By Listing Multiples
By Division Method

LCM of 2 and 2 by Listing Multiples

To calculate the LCM of 2 and 2 by listing out the multiples, we can follow the given below steps:

Step 1: List a few multiples of 2 (2, 4, 6, 8, 10, . . . ).
Step 2: The smallest common multiple of 2 and 2 is 2.

∴ The least common multiple of 2 and 2 = 2.

LCM of 2 and 2 by Division Method

To calculate the LCM of 2 and 2 by the division method, we will divide the numbers(2, 2) by their prime factors, as long as at least one of the numbers is evenly divisible by a prime number. The product of these divisors gives the LCM of 2 and 2.

Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 2 and 2. Write this prime number(2) on the left of the given numbers(2 and 2), separated as per the ladder arrangement.
Step 2: Divide the given numbers (2, 2) by 2 and write the quotient below them.
Step 3: Since only 1s are left in the last row, we can stop the division here.

The LCM of 2 and 2 by division method is given as, LCM(2, 2) = 2.

☛ Also Check:

LCM of 2 and 2 Examples

Example 1: The product of two numbers is 4. If their GCD is 2, what is their LCM?

Solution:

Given: GCD = 2
product of numbers = 4
∵ LCM × GCD = product of numbers
⇒ LCM = Product/GCD = 4/2
Therefore, the LCM is 2.
The probable combination for the given case is LCM(2, 2) = 2.
Example 2: Verify the relationship between GCF and LCM of 2 and 2.

Solution:

The relation between GCF and LCM of 2 and 2 is given as,
LCM(2, 2) × GCF(2, 2) = Product of 2, 2
LCM(2, 2) = 2
GCF(2, 2) = 2
LHS = LCM(2, 2) × GCF(2, 2) = 2 × 2 = 4
RHS = Product of 2, 2 = 2 × 2 = 4
⇒ LHS = RHS = 4
Hence, verified.
Example 3: The GCD and LCM of two numbers are 2 and 2 respectively. If one number is 2, find the other number.

Solution:

Let the other number be x.
∵ GCD × LCM = 2 × x
⇒ x = (GCD × LCM)/2
⇒ x = (2 × 2)/2
⇒ x = 2
Therefore, the other number is 2.

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FAQs on LCM of 2 and 2

What is the LCM of 2 and 2?

The LCM of 2 and 2 is 2. To find the least common multiple of 2 and 2, we need to find the multiples of 2 (multiples of 2 = 2, 4, 6, 8, . . .) and choose the smallest multiple that is exactly divisible by 2 and 2, i.e., 2.

Which of the following is the LCM of 2 and 2? 20, 2, 40, 45

The value of LCM of 2, 2 is the smallest multiple of 2. The number satisfying the given condition is 2.

If the LCM of 2 and 2 is 2, Find its GCF.

LCM(2, 2) × GCF(2, 2) = 2 × 2
Since the LCM of 2 and 2 = 2
⇒ 2 × GCF(2, 2) = 4
Therefore, the GCF (greatest common factor) = 4/2 = 2.

What is the Relation Between GCF and LCM of 2, 2?

The following equation can be used to express the relation between GCF and LCM of 2 and 2, i.e. GCF × LCM = 2 × 2.

What are the Methods to Find LCM of 2 and 2?

The commonly used methods to find the LCM of 2 and 2 are:

Listing Multiples
Division Method

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