LCM of 4 and 4
LCM of 4 and 4 is the smallest number among all multiples of 4. The first few multiples of 4 are (4, 8, 12, 16, 20, 24, . . . ). There are 2 commonly used methods to find LCM of 4 and 4  by division method, and by listing multiples.
1.  LCM of 4 and 4 
2.  List of Methods 
3.  Solved Examples 
4.  FAQs 
What is the LCM of 4 and 4?
Answer: LCM of 4 and 4 is 4.
Explanation:
The LCM of nonzero integers, x(4) and y(4), is the smallest positive integer m(4) that is divisible by both x(4) and y(4) without any remainder.
Methods to Find LCM of 4 and 4
The methods to find the LCM of 4 and 4 are explained below.
 By Division Method
 By Listing Multiples
LCM of 4 and 4 by Division Method
To calculate the LCM of 4 and 4 by the division method, we will divide the numbers(4, 4) 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 4 and 4.
 Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 4 and 4. Write this prime number(2) on the left of the given numbers(4 and 4), separated as per the ladder arrangement.
 Step 2: Divide the given numbers (4, 4) by 2 and write the quotient below them.
 Step 3: Continue the steps until only 1s are left in the last row.
The LCM of 4 and 4 is the product of all prime numbers on the left, i.e. LCM(4, 4) by division method = 2 × 2 = 4.
LCM of 4 and 4 by Listing Multiples
To calculate the LCM of 4 and 4 by listing out the multiples, we can follow the given below steps:
 Step 1: List a few multiples of 4 (4, 8, 12, 16, 20, 24, . . . ).
 Step 2: The smallest common multiple of 4 and 4 is 4.
∴ The least common multiple of 4 and 4 = 4.
☛ Also Check:
 LCM of 2 and 13  26
 LCM of 13 and 91  91
 LCM of 3 and 9  9
 LCM of 36, 48 and 72  144
 LCM of 4, 12 and 20  60
 LCM of 6 and 8  24
 LCM of 3 and 4  12
LCM of 4 and 4 Examples

Example 2: The product of two numbers is 16. If their GCD is 4, what is their LCM?
Solution:
Given: GCD = 4
product of numbers = 16
∵ LCM × GCD = product of numbers
⇒ LCM = Product/GCD = 16/4
Therefore, the LCM is 4.
The probable combination for the given case is LCM(4, 4) = 4. 
Example 3: Verify the relationship between GCF and LCM of 4 and 4.
Solution:
The relation between GCF and LCM of 4 and 4 is given as,
LCM(4, 4) × GCF(4, 4) = Product of 4, 4
LCM(4, 4) = 4
GCF(4, 4) = 4
LHS = LCM(4, 4) × GCF(4, 4) = 4 × 4 = 16
RHS = Product of 4, 4 = 4 × 4 = 16
⇒ LHS = RHS = 16
Hence, verified.
FAQs on LCM of 4 and 4
What is the LCM of 4 and 4?
The LCM of 4 and 4 is 4. To find the least common multiple of 4 and 4, we need to find the multiples of 4 (multiples of 4 = 4, 8, 12, 16, . . .) and choose the smallest multiple that is exactly divisible by 4 and 4, i.e., 4.
If the LCM of 4 and 4 is 4, Find its GCF.
LCM(4, 4) × GCF(4, 4) = 4 × 4
Since the LCM of 4 and 4 = 4
⇒ 4 × GCF(4, 4) = 16
Therefore, the greatest common factor = 16/4 = 4.
What are the Methods to Find LCM of 4 and 4?
The commonly used methods to find the LCM of 4 and 4 are:
 Division Method
 Listing Multiples
What is the Relation Between GCF and LCM of 4, 4?
The following equation can be used to express the relation between GCF and LCM of 4 and 4, i.e. GCF × LCM = 4 × 4.
Which of the following is the LCM of 4 and 4? 20, 4, 40, 45
The value of LCM of 4, 4 is the smallest multiple of 4. The number satisfying the given condition is 4.
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