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LCM of 5 and 5

LCM of 5 and 5 is the smallest number among all multiples of 5. The first few multiples of 5 are (5, 10, 15, 20, . . . ). There are 2 commonly used methods to find LCM of 5 and 5 - by listing multiples, and by division method.

1.	LCM of 5 and 5
2.	List of Methods
3.	Solved Examples
4.	FAQs

What is the LCM of 5 and 5?

Answer: LCM of 5 and 5 is 5.

Explanation:

The LCM of non-zero integers, x(5) and y(5), is the smallest positive integer m(5) that is divisible by both x(5) and y(5) without any remainder.

Methods to Find LCM of 5 and 5

Let's look at the different methods for finding the LCM of 5 and 5.

By Listing Multiples
By Division Method

LCM of 5 and 5 by Listing Multiples

To calculate the LCM of 5 and 5 by listing out the multiples, we can follow the given below steps:

Step 1: List a few multiples of 5 (5, 10, 15, 20, . . . ).
Step 2: The smallest common multiple of 5 and 5 is 5.

∴ The least common multiple of 5 and 5 = 5.

LCM of 5 and 5 by Division Method

To calculate the LCM of 5 and 5 by the division method, we will divide the numbers(5, 5) by their prime factors (preferably common), 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 5 and 5.

Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 5 and 5. Write this prime number(5) on the left of the given numbers(5 and 5), separated as per the ladder arrangement.
Step 2: Divide the given numbers by 5 and write the quotients below them.
Step 3: Since only 1s are left in the last row, we can stop the division here.

The LCM of 5 and 5 is the product of all prime numbers on the left, i.e. LCM(5, 5) by division method = 5.

☛ Also Check:

LCM of 5 and 5 Examples

Example 1: Verify the relationship between GCF and LCM of 5 and 5.

Solution:

The relation between GCF and LCM of 5 and 5 is given as,
LCM(5, 5) × GCF(5, 5) = Product of 5, 5
LCM(5, 5) = 5
GCF(5, 5) = 5
LHS = LCM(5, 5) × GCF(5, 5) = 5 × 5 = 25
RHS = Product of 5, 5 = 5 × 5 = 25
⇒ LHS = RHS = 25
Hence, verified.
Example 2: The product of two numbers is 25. If their GCD is 5, what is their LCM?

Solution:

Given: GCD = 5
product of numbers = 25
∵ LCM × GCD = product of numbers
⇒ LCM = Product/GCD = 25/5
Therefore, the LCM is 5.
The probable combination for the given case is LCM(5, 5) = 5.
Example 3: The GCD and LCM of two numbers are 5 and 5 respectively. If one number is 5, find the other number.

Solution:

Let the other number be z.
∵ GCD × LCM = 5 × z
⇒ z = (GCD × LCM)/5
⇒ z = (5 × 5)/5
⇒ z = 5
Therefore, the other number is 5.

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FAQs on LCM of 5 and 5

What is the LCM of 5 and 5?

The LCM of 5 and 5 is 5. To find the LCM of 5 and 5, we need to find the multiples of 5(multiples of 5 = 5, 10, 15, 20, . .) and choose the smallest multiple that is exactly divisible by 5 and 5, i.e., 5.

Which of the following is the LCM of 5 and 5? 25, 18, 5, 35

The value of LCM of 5, 5 is the smallest multiple of 5. The number satisfying the given condition is 5.

What is the Least Perfect Square Divisible by 5 and 5?

The least number divisible by 5 and 5 = LCM(5, 5)
LCM of 5 and 5 = 5.
⇒ Least perfect square divisible by each 5 and 5 = 5 × 5 = 25 [Square root of 25 = √25 = ±5]
Therefore, 25 is the required number.

What is the Relation Between GCF and LCM of 5, 5?

The following equation can be used to express the relation between GCF and LCM of 5 and 5, i.e. GCF × LCM = 5 × 5.

If the LCM of 5 and 5 is 5, Find its GCF.

LCM(5, 5) × GCF(5, 5) = 5 × 5
Since the LCM of 5 and 5 = 5
⇒ 5 × GCF(5, 5) = 25
Therefore, the GCF = 25/5 = 5.

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