LCM the 2 and 5 is the the smallest number among all typical multiples the 2 and also 5. The first few multiples of 2 and 5 room (2, 4, 6, 8, . . . ) and (5, 10, 15, 20, . . . ) respectively. There space 3 commonly used techniques to find LCM the 2 and also 5 - by department method, by element factorization, and by listing multiples.

You are watching: What is the least common multiple of 2 and 5

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

Answer: LCM the 2 and 5 is 10.

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Explanation:

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


Let's look at the different methods because that finding the LCM that 2 and 5.

By prime Factorization MethodBy department MethodBy Listing Multiples

LCM of 2 and 5 by element Factorization

Prime factorization of 2 and 5 is (2) = 21 and (5) = 51 respectively. LCM the 2 and also 5 deserve to be acquired by multiply prime components raised to their respective highest possible power, i.e. 21 × 51 = 10.Hence, the LCM of 2 and 5 by element factorization is 10.

LCM that 2 and 5 by division Method

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To calculate the LCM of 2 and also 5 by the division method, we will divide the numbers(2, 5) by your prime determinants (preferably common). The product of these divisors offers the LCM the 2 and 5.

Step 3: proceed the measures until just 1s room left in the last row.

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

LCM that 2 and 5 by Listing Multiples

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To calculate the LCM that 2 and 5 through listing out the usual multiples, we have the right to follow the given below steps:

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

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

☛ additionally Check:


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FAQs on LCM that 2 and 5

What is the LCM that 2 and 5?

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

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

The value of LCM of 2, 5 is the smallest usual multiple that 2 and 5. The number to solve the given problem is 10.

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

The adhering to equation can be used to express the relation in between GCF and LCM that 2 and also 5, i.e. GCF × LCM = 2 × 5.

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

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

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

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