LCM of 5 and 25 is the the smallest number amongst all usual multiples of 5 and also 25. The first few multiples of 5 and 25 space (5, 10, 15, 20, 25, 30, . . . ) and also (25, 50, 75, 100, . . . ) respectively. There room 3 typically used methods to uncover LCM of 5 and 25 - by listing multiples, by division method, and by prime factorization.

You are watching: Least common multiple of 5 and 25

1.LCM the 5 and 25
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM the 5 and also 25 is 25.

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Explanation:

The LCM of 2 non-zero integers, x(5) and also y(25), is the smallest optimistic integer m(25) that is divisible through both x(5) and y(25) without any remainder.


Let's look at the various methods for finding the LCM that 5 and also 25.

By department MethodBy element Factorization MethodBy Listing Multiples

LCM of 5 and 25 by department Method

To calculate the LCM the 5 and also 25 through the division method, we will divide the numbers(5, 25) by your prime factors (preferably common). The product of this divisors provides the LCM the 5 and also 25.

Step 3: proceed the measures until just 1s space left in the critical row.

The LCM the 5 and also 25 is the product of all prime number on the left, i.e. LCM(5, 25) by department method = 5 × 5 = 25.

LCM that 5 and also 25 by prime Factorization

Prime factorization of 5 and also 25 is (5) = 51 and also (5 × 5) = 52 respectively. LCM that 5 and also 25 have the right to be acquired by multiplying prime components raised to your respective highest power, i.e. 52 = 25.Hence, the LCM that 5 and also 25 by element factorization is 25.

LCM of 5 and also 25 by Listing Multiples

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To calculate the LCM of 5 and also 25 by listing the end the usual multiples, we can follow the given listed below steps:

Step 1: list a couple of multiples of 5 (5, 10, 15, 20, 25, 30, . . . ) and 25 (25, 50, 75, 100, . . . . )Step 2: The common multiples native the multiples of 5 and 25 space 25, 50, . . .Step 3: The smallest common multiple that 5 and also 25 is 25.

∴ The least typical multiple that 5 and also 25 = 25.

☛ also Check:


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FAQs ~ above LCM of 5 and also 25

What is the LCM the 5 and also 25?

The LCM of 5 and 25 is 25. To find the least usual multiple (LCM) of 5 and also 25, we require to uncover the multiples that 5 and 25 (multiples the 5 = 5, 10, 15, 20 . . . . 25; multiples that 25 = 25, 50, 75, 100) and choose the the smallest multiple the is exactly divisible by 5 and also 25, i.e., 25.

What is the the very least Perfect Square Divisible by 5 and 25?

The least number divisible through 5 and 25 = LCM(5, 25)LCM that 5 and also 25 = 5 × 5 ⇒ the very least perfect square divisible by each 5 and 25 = 25 Therefore, 25 is the forced number.

What is the Relation in between GCF and LCM the 5, 25?

The complying with equation can be offered to express the relation in between GCF and LCM of 5 and also 25, i.e. GCF × LCM = 5 × 25.

How to find the LCM that 5 and 25 by prime Factorization?

To find the LCM of 5 and 25 utilizing prime factorization, we will uncover the prime factors, (5 = 5) and also (25 = 5 × 5). LCM of 5 and also 25 is the product of prime determinants raised to their respective greatest exponent among the number 5 and 25.⇒ LCM that 5, 25 = 52 = 25.

If the LCM of 25 and 5 is 25, discover its GCF.

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LCM(25, 5) × GCF(25, 5) = 25 × 5Since the LCM of 25 and also 5 = 25⇒ 25 × GCF(25, 5) = 125Therefore, the greatest usual factor (GCF) = 125/25 = 5.