LCM of 2 and 5 is the smallest number among all common multiples of 2 and 5. The first few multiples of 2 and 5 are (2, 4, 6, 8, . . . ) and (5, 10, 15, 20, . . . ) respectively. There are 3 commonly used methods to find LCM of 2 and 5 – by division method, by prime factorization, and by listing multiples.

You are watching: Lowest common multiple of 2 and 5

1. | LCM of 2 and 5 |

2. | List of Methods |

3. | Solved Examples |

4. | FAQs |

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

**Explanation: **

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

Let's look at the different methods for finding the LCM of 2 and 5.

By Prime Factorization MethodBy Division MethodBy Listing Multiples

### LCM of 2 and 5 by Prime Factorization

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

### LCM of 2 and 5 by Division Method

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

**Step 3:** Continue the steps until only 1s are left in the last row.

See more: What Kind Of Dog Is Fang Harry Potter ? Neapolitan Mastiff

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

### LCM of 2 and 5 by Listing Multiples

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

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

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

**☛ Also Check:**

## FAQs on LCM of 2 and 5

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

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

### Which of the following is the LCM of 2 and 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 used to express the relation between GCF and LCM of 2 and 5, i.e. GCF × LCM = 2 × 5.

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

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

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

See more: How To Open A Honda Accord Hood From The Outside, How To Get Hood Open

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