LCM of 2 and also 5 is the smallest number amongst all usual multiples the 2 and 5. The first couple of multiples of 2 and 5 are (2, 4, 6, 8, . . . ) and (5, 10, 15, 20, . . . ) respectively. There room 3 commonly used techniques to uncover LCM of 2 and also 5 - by department method, by prime factorization, and by listing multiples.

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

Answer: LCM that 2 and also 5 is 10.

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Explanation:

The LCM of two non-zero integers, x(2) and y(5), is the smallest confident integer m(10) that is divisible by both x(2) and also y(5) without any type of remainder.


Let's look in ~ the various methods because that finding the LCM the 2 and also 5.

By prime Factorization MethodBy department MethodBy Listing Multiples

LCM that 2 and also 5 by prime Factorization

Prime administer of 2 and also 5 is (2) = 21 and (5) = 51 respectively. LCM the 2 and also 5 can be obtained by multiplying prime determinants raised to their respective highest power, i.e. 21 × 51 = 10.Hence, the LCM that 2 and also 5 by prime factorization is 10.

LCM of 2 and 5 by division Method

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To calculation the LCM the 2 and 5 by the department method, we will divide the numbers(2, 5) by their prime factors (preferably common). The product of these divisors offers the LCM of 2 and 5.

Step 3: proceed the measures until only 1s space left in the last row.

The LCM of 2 and also 5 is the product of all prime number on the left, i.e. LCM(2, 5) by division method = 2 × 5 = 10.

LCM of 2 and also 5 by Listing Multiples

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To calculate the LCM of 2 and 5 through listing out the typical multiples, we can follow the given below steps:

Step 1: perform a couple of multiples the 2 (2, 4, 6, 8, . . . ) and 5 (5, 10, 15, 20, . . . . )Step 2: The usual multiples native the multiples that 2 and also 5 are 10, 20, . . .Step 3: The smallest common multiple of 2 and 5 is 10.

∴ The least common multiple that 2 and also 5 = 10.

☛ additionally Check:


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FAQs ~ above LCM of 2 and 5

What is the LCM of 2 and also 5?

The LCM the 2 and also 5 is 10. To uncover the LCM that 2 and 5, we require to find the multiples of 2 and 5 (multiples that 2 = 2, 4, 6, 8 . . . . 10; multiples that 5 = 5, 10, 15, 20) and also choose the smallest multiple the is precisely divisible by 2 and also 5, i.e., 10.

Which of the adhering to is the LCM the 2 and 5? 5, 40, 32, 10

The worth of LCM that 2, 5 is the smallest typical multiple the 2 and also 5. The number satisfying the given condition is 10.

What is the Relation in between GCF and also LCM of 2, 5?

The adhering to equation can be supplied to refer the relation between GCF and LCM of 2 and 5, i.e. GCF × LCM = 2 × 5.

How to uncover the LCM that 2 and also 5 by prime Factorization?

To find the LCM the 2 and 5 using prime factorization, we will discover the element factors, (2 = 2) and also (5 = 5). LCM that 2 and 5 is the product of prime factors raised to your respective highest possible exponent amongst the numbers 2 and also 5.⇒ LCM of 2, 5 = 21 × 51 = 10.

If the LCM the 5 and 2 is 10, uncover its GCF.

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LCM(5, 2) × GCF(5, 2) = 5 × 2Since the LCM that 5 and 2 = 10⇒ 10 × GCF(5, 2) = 10Therefore, the GCF (greatest common factor) = 10/10 = 1.