LCM the 5 and 7 is the the smallest number among all usual multiples that 5 and also 7. The first few multiples the 5 and also 7 space (5, 10, 15, 20, 25, 30, 35, . . . ) and (7, 14, 21, 28, 35, . . . ) respectively. There space 3 commonly used techniques to discover LCM of 5 and 7 - by department method, by element factorization, and by listing multiples.

You are watching: Least common multiple of 5 and 7

1. | LCM the 5 and also 7 |

2. | List of Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM of 5 and 7 is 35.

**Explanation: **

The LCM of two non-zero integers, x(5) and also y(7), is the smallest confident integer m(35) that is divisible by both x(5) and also y(7) without any type of remainder.

Let's look in ~ the different methods because that finding the LCM the 5 and also 7.

By division MethodBy Listing MultiplesBy element Factorization Method### LCM that 5 and also 7 by division Method

To calculate the LCM the 5 and also 7 by the division method, we will certainly divide the numbers(5, 7) by their prime factors (preferably common). The product of these divisors offers the LCM the 5 and 7.

**Step 3:**continue the procedures until only 1s room left in the critical row.

The LCM of 5 and also 7 is the product of every prime number on the left, i.e. LCM(5, 7) by department method = 5 × 7 = 35.

### LCM the 5 and also 7 by Listing Multiples

To calculate the LCM of 5 and 7 by listing out the usual multiples, we deserve to follow the given listed below steps:

**Step 1:**perform a few multiples of 5 (5, 10, 15, 20, 25, 30, 35, . . . ) and also 7 (7, 14, 21, 28, 35, . . . . )

**Step 2:**The usual multiples native the multiples that 5 and 7 are 35, 70, . . .

**Step 3:**The smallest usual multiple of 5 and 7 is 35.

∴ The least common multiple the 5 and 7 = 35.

### LCM the 5 and also 7 by prime Factorization

Prime administrate of 5 and 7 is (5) = 51 and (7) = 71 respectively. LCM of 5 and 7 deserve to be acquired by multiplying prime determinants raised to your respective greatest power, i.e. 51 × 71 = 35.Hence, the LCM that 5 and 7 by element factorization is 35.

**☛ also Check:**

## FAQs on LCM of 5 and 7

### What is the LCM of 5 and 7?

The **LCM that 5 and 7 is 35**. To find the LCM (least usual multiple) that 5 and also 7, we need to find the multiples of 5 and 7 (multiples the 5 = 5, 10, 15, 20 . . . . 35; multiples that 7 = 7, 14, 21, 28 . . . . 35) and choose the the smallest multiple the is precisely divisible by 5 and 7, i.e., 35.

### If the LCM that 7 and 5 is 35, uncover its GCF.

LCM(7, 5) × GCF(7, 5) = 7 × 5Since the LCM that 7 and 5 = 35⇒ 35 × GCF(7, 5) = 35Therefore, the greatest usual factor (GCF) = 35/35 = 1.

### What room the approaches to find LCM of 5 and also 7?

The typically used approaches to uncover the **LCM the 5 and 7** are:

### What is the the very least Perfect Square Divisible through 5 and also 7?

The the very least number divisible through 5 and 7 = LCM(5, 7)LCM of 5 and also 7 = 5 × 7

See more: 1.4 Meters In Feet And Inches, Meters To Feet And Inches Calculator

### How to discover the LCM the 5 and also 7 by element Factorization?

To uncover the LCM of 5 and 7 making use of prime factorization, we will discover the element factors, (5 = 5) and (7 = 7). LCM the 5 and also 7 is the product that prime determinants raised to your respective highest exponent among the numbers 5 and 7.⇒ LCM that 5, 7 = 51 × 71 = 35.