LCM of 2 and 5 is the smallest number among all widespread multiples of 2 and also 5. The first few multiples of 2 and also 5 are (2, 4, 6, 8, . . . ) and (5, 10, 15, 20, . . . ) respectively. There are 3 commonly offered techniques to uncover LCM of 2 and also 5 - by division technique, by prime factorization, and by listing multiples.

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

Answer: LCM of 2 and 5 is 10.

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Explanation:

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


Let's look at the various techniques for finding the LCM of 2 and also 5.

By Prime Factorization MethodBy Division MethodBy Listing Multiples

LCM of 2 and 5 by Prime Factorization

Prime factorization of 2 and also 5 is (2) = 21 and also (5) = 51 respectively. LCM of 2 and also 5 have the right to be obtained by multiplying prime factors increased to their particular highest possible power, i.e. 21 × 51 = 10.Hence, the LCM of 2 and also 5 by prime factorization is 10.

LCM of 2 and 5 by Division Method

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To calculate the LCM of 2 and also 5 by the division technique, we will certainly divide the numbers(2, 5) by their prime components (preferably common). The product of these divisors offers the LCM of 2 and also 5.

Step 3: Continue the measures till just 1s are left in the last row.

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

LCM of 2 and 5 by Listing Multiples

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To calculate the LCM of 2 and 5 by listing out the common multiples, we have the right to follow the given listed below steps:

Step 1: List a few multiples of 2 (2, 4, 6, 8, . . . ) and also 5 (5, 10, 15, 20, . . . . )Step 2: The common multiples from the multiples of 2 and 5 are 10, 20, . . .Tip 3: The smallest prevalent multiple of 2 and 5 is 10.

∴ The least common multiple of 2 and 5 = 10.

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FAQs on LCM of 2 and 5

What is the LCM of 2 and 5?

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

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

The value of LCM of 2, 5 is the smallest common multiple of 2 and 5. The number satisfying the given condition is 10.

What is the Relation Between GCF and LCM of 2, 5?

The following equation can be offered to expush the relation in between GCF and LCM of 2 and also 5, i.e. GCF × LCM = 2 × 5.

How to Find the LCM of 2 and also 5 by Prime Factorization?

To uncover the LCM of 2 and also 5 utilizing prime factorization, we will find the prime determinants, (2 = 2) and also (5 = 5). LCM of 2 and 5 is the product of prime determinants increased to their corresponding highest exponent among the numbers 2 and also 5.⇒ LCM of 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 × 2Due to the fact that the LCM of 5 and 2 = 10⇒ 10 × GCF(5, 2) = 10As such, the GCF (best widespread factor) = 10/10 = 1.