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

You are watching: What is the least common multiple of 5 and 7

 1 LCM the 5 and also 7 2 List that Methods 3 Solved Examples 4 FAQs

Answer: LCM of 5 and 7 is 35.

Explanation:

The LCM of 2 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 remainder.

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

By department MethodBy Listing MultiplesBy prime Factorization Method

### LCM that 5 and 7 by division Method

To calculation the LCM of 5 and also 7 by the division method, we will certainly divide the numbers(5, 7) by their prime components (preferably common). The product of this divisors provides the LCM the 5 and 7.

Step 3: continue the steps until only 1s space left in the last row.

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

### LCM the 5 and 7 through Listing Multiples

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

Step 1: list a few multiples of 5 (5, 10, 15, 20, 25, 30, 35, . . . ) and 7 (7, 14, 21, 28, 35, . . . . )Step 2: The usual multiples native the multiples that 5 and also 7 room 35, 70, . . .Step 3: The smallest usual multiple of 5 and 7 is 35.

∴ The least typical multiple of 5 and also 7 = 35.

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

Prime administrate of 5 and 7 is (5) = 51 and (7) = 71 respectively. LCM the 5 and 7 can be derived by multiply prime determinants raised to your respective highest power, i.e. 51 × 71 = 35.Hence, the LCM of 5 and 7 by prime factorization is 35.

## FAQs ~ above LCM the 5 and 7

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

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

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

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

### What room the techniques to uncover LCM of 5 and also 7?

The typically used techniques to uncover the LCM of 5 and also 7 are:

Division MethodPrime administer MethodListing Multiples

### What is the least Perfect Square Divisible by 5 and 7?

The the very least number divisible through 5 and 7 = LCM(5, 7)LCM of 5 and also 7 = 5 × 7 ⇒ least perfect square divisible by every 5 and also 7 = LCM(5, 7) × 5 × 7 = 1225 Therefore, 1225 is the forced number.

See more: A Temporary Group Of Employees Responsible For Bringing About A Particular Change Is A

### How to uncover the LCM of 5 and 7 by prime Factorization?

To uncover the LCM the 5 and 7 using prime factorization, we will find the element factors, (5 = 5) and (7 = 7). LCM that 5 and 7 is the product of prime components raised to your respective greatest exponent among the numbers 5 and also 7.⇒ LCM of 5, 7 = 51 × 71 = 35.