LCM of 3 and 3
LCM of 3 and 3 is the smallest number among all multiples of 3. The first few multiples of 3 are (3, 6, 9, 12, 15, 18, 21, . . . ). There are 2 commonly used methods to find LCM of 3 and 3  by listing multiples, and by division method.
1.  LCM of 3 and 3 
2.  List of Methods 
3.  Solved Examples 
4.  FAQs 
What is the LCM of 3 and 3?
Answer: LCM of 3 and 3 is 3.
Explanation:
The LCM of nonzero integers, x(3) and y(3), is the smallest positive integer m(3) that is divisible by both x(3) and y(3) without any remainder.
Methods to Find LCM of 3 and 3
Let's look at the different methods for finding the LCM of 3 and 3.
 By Division Method
 By Listing Multiples
LCM of 3 and 3 by Division Method
To calculate the LCM of 3 and 3 by the division method, we will divide the numbers(3, 3) 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 3 and 3.
 Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 3 and 3. Write this prime number(3) on the left of the given numbers(3 and 3), separated as per the ladder arrangement.
 Step 2: Divide the given numbers (3, 3) by 3 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 3 and 3 by division method is given as, LCM(3, 3) = 3.
LCM of 3 and 3 by Listing Multiples
To calculate the LCM of 3 and 3 by listing out the common multiples, we can follow the given below steps:
 Step 1: List a few multiples of 3 (3, 6, 9, 12, 15, 18, 21, . . . ).
 Step 2: The smallest common multiple of 3 and 3 is 3.
∴ The least common multiple of 3 and 3 = 3.
☛ Also Check:
 LCM of 2 and 11  22
 LCM of 6 and 27  54
 LCM of 7, 8, 11 and 12  1848
 LCM of 30 and 45  90
 LCM of 42 and 63  126
 LCM of 54 and 27  54
 LCM of 50 and 75  150
LCM of 3 and 3 Examples

Example 1: Verify the relationship between GCF and LCM of 3 and 3.
Solution:
The relation between GCF and LCM of 3 and 3 is given as,
LCM(3, 3) × GCF(3, 3) = Product of 3, 3
LCM(3, 3) = 3
GCF(3, 3) = 3
LHS = LCM(3, 3) × GCF(3, 3) = 3 × 3 = 9
RHS = Product of 3, 3 = 3 × 3 = 9
⇒ LHS = RHS = 9
Hence, verified. 
Example 2: The product of two numbers is 9. If their GCD is 3, what is their LCM?
Solution:
Given: GCD = 3
product of numbers = 9
∵ LCM × GCD = product of numbers
⇒ LCM = Product/GCD = 9/3
Therefore, the LCM is 3.
The probable combination for the given case is LCM(3, 3) = 3.
FAQs on LCM of 3 and 3
What is the LCM of 3 and 3?
The LCM of 3 and 3 is 3. To find the least common multiple (LCM) of 3 and 3, we need to find the multiples of 3(multiples of 3 = 3, 6, 9, 12, . .) and choose the smallest multiple that is exactly divisible by 3 and 3, i.e., 3.
What are the Methods to Find LCM of 3 and 3?
The commonly used methods to find the LCM of 3 and 3 are:
 Listing Multiples
 Division Method
What is the Least Perfect Square Divisible by 3 and 3?
The least number divisible by 3 and 3 = LCM(3, 3)
LCM of 3 and 3 = 3.
⇒ Least perfect square divisible by each 3 and 3 = 3 × 3 = 9 [Square root of 9 = √9 = ±3]
Therefore, 9 is the required number.
If the LCM of 3 and 3 is 3, Find its GCF.
LCM(3, 3) × GCF(3, 3) = 3 × 3
Since the LCM of 3 and 3 = 3
⇒ 3 × GCF(3, 3) = 9
Therefore, the greatest common factor = 9/3 = 3.
What is the Relation Between GCF and LCM of 3, 3?
The following equation can be used to express the relation between GCF and LCM of 3 and 3, i.e. GCF × LCM = 3 × 3.
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