LCM of 3 and 1
LCM of 3 and 1 is the smallest number among all common multiples of 3 and 1. The first few multiples of 3 and 1 are (3, 6, 9, 12, 15, 18, 21, . . . ) and (1, 2, 3, 4, 5, . . . ) respectively. There are 2 commonly used methods to find LCM of 3 and 1  by division method, and by listing multiples.
1.  LCM of 3 and 1 
2.  List of Methods 
3.  Solved Examples 
4.  FAQs 
What is the LCM of 3 and 1?
Answer: LCM of 3 and 1 is 3.
Explanation:
The LCM of two nonzero integers, x(3) and y(1), is the smallest positive integer m(3) that is divisible by both x(3) and y(1) without any remainder.
Methods to Find LCM of 3 and 1
Let's look at the different methods for finding the LCM of 3 and 1.
 By Division Method
 By Listing Multiples
LCM of 3 and 1 by Division Method
To calculate the LCM of 3 and 1 by the division method, we will divide the numbers(3, 1) 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 1.
 Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 3 and 1. Write this prime number(3) on the left of the given numbers(3 and 1), separated as per the ladder arrangement.
 Step 2: If any of the given numbers (3, 1) is a multiple of 3, divide it by 3 and write the quotient below it. Bring down any number that is not divisible by the prime number.
 Step 3: Since only 1s are left in the last row, we can stop here.
The LCM of 3 and 1 by division method is given as, LCM(3, 1) = 3.
LCM of 3 and 1 by Listing Multiples
To calculate the LCM of 3 and 1 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, . . . ) and 1 (1, 2, 3, 4, 5, . . . )
 Step 2: The common multiples from the multiples of 3 and 1 are 3, 6, . . .
 Step 3: The smallest common multiple of 3 and 1 is 3.
∴ The least common multiple of 3 and 1 = 3.
☛ Also Check:
 LCM of 3 and 10  30
 LCM of 20, 25 and 30  300
 LCM of 7 and 17  119
 LCM of 3 and 13  39
 LCM of 3, 5 and 11  165
 LCM of 16, 18 and 24  144
 LCM of 3 and 5  15
LCM of 3 and 1 Examples

Example 2: The product of two numbers is 3. If their GCD is 1, what is their LCM?
Solution:
Given: GCD = 1
product of numbers = 3
∵ LCM × GCD = product of numbers
⇒ LCM = Product/GCD = 3/1
Therefore, the LCM is 3.
The probable combination for the given case is LCM(3, 1) = 3. 
Example 3: Find the smallest number that is divisible by 3 and 1 exactly.
Solution:
The smallest number that is divisible by 3 and 1 exactly is their LCM.
⇒ Multiples of 3 and 1: Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, . . .
 Multiples of 1 = 1, 2, 3, 4, 5, 6, 7, . . .
Therefore, the LCM of 3 and 1 is 3.
FAQs on LCM of 3 and 1
What is the LCM of 3 and 1?
The LCM of 3 and 1 is 3. To find the least common multiple (LCM) of 3 and 1, we need to find the multiples of 3 and 1 (multiples of 3 = 3, 6, 9, 12, . . .; multiples of 1 = 1, 2, 3, 4, . . .) and choose the smallest multiple that is exactly divisible by 3 and 1, i.e., 3.
What is the Relation Between GCF and LCM of 3, 1?
The following equation can be used to express the relation between GCF and LCM of 3 and 1, i.e. GCF × LCM = 3 × 1.
If the LCM of 1 and 3 is 3, Find its GCF.
LCM(1, 3) × GCF(1, 3) = 1 × 3
Since the LCM of 1 and 3 = 3
⇒ 3 × GCF(1, 3) = 3
Therefore, the GCF = 3/3 = 1.
What is the Least Perfect Square Divisible by 3 and 1?
The least number divisible by 3 and 1 = LCM(3, 1)
LCM of 3 and 1 = 3
⇒ Least perfect square divisible by each 3 and 1 = 3 × 3 = 9 [Square root of 9 = √9 = ±3]
Therefore, 9 is the required number.
What are the Methods to Find LCM of 1 and 5?
The commonly used methods to find the LCM of 1 and 5 are:
 Listing Multiples
 Division Method