LCM the 2 and 5 is the the smallest number among all common multiples that 2 and 5. The first couple of multiples the 2 and also 5 space (2, 4, 6, 8, . . . ) and also (5, 10, 15, 20, . . . ) respectively. There space 3 generally used techniques to discover LCM of 2 and also 5 - by department method, by element factorization, and by listing multiples.

You are watching: What is the lcm of 2 and 5

1. | LCM the 2 and also 5 |

2. | List that Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM of 2 and 5 is 10.

**Explanation: **

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

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

By element Factorization MethodBy department MethodBy Listing Multiples### LCM the 2 and also 5 by prime Factorization

Prime administrate of 2 and also 5 is (2) = 21 and (5) = 51 respectively. LCM of 2 and 5 deserve to be obtained by multiplying prime factors raised to their respective greatest power, i.e. 21 × 51 = 10.Hence, the LCM the 2 and 5 by element factorization is 10.

### LCM of 2 and 5 by department Method

To calculate the LCM of 2 and also 5 through the department method, we will certainly divide the numbers(2, 5) by their prime factors (preferably common). The product of these divisors provides the LCM of 2 and also 5.

**Step 3:**proceed the actions until only 1s are left in the critical row.

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

### LCM that 2 and also 5 by Listing Multiples

To calculate the LCM of 2 and 5 by listing the end the common multiples, we can follow the given below steps:

**Step 1:**perform a few multiples the 2 (2, 4, 6, 8, . . . ) and also 5 (5, 10, 15, 20, . . . . )

**Step 2:**The typical multiples native the multiples of 2 and 5 space 10, 20, . . .

**Step 3:**The smallest typical multiple that 2 and also 5 is 10.

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

**☛ also Check:**

## FAQs on LCM the 2 and also 5

### What is the LCM the 2 and 5?

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

### Which of the complying with is the LCM the 2 and also 5? 5, 40, 32, 10

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

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

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

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

To find the LCM the 2 and also 5 using prime factorization, we will find the prime factors, (2 = 2) and also (5 = 5). LCM of 2 and also 5 is the product of prime components raised to your respective greatest exponent among the number 2 and also 5.⇒ LCM the 2, 5 = 21 × 51 = 10.

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

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