Welcome to the web site **Best Blog Hồng**, At the moment best.bloghong.com will introduce you to the article ** what is the lcm of 6 and 9 | Best BlogHong
**, Let’s study extra about it with us. what’s the lcm of 6 and 9 | Greatest BlogHong

article under

LCM of 6 and 9

LCM of 6 and 9 is the smallest quantity amongst all frequent multiples of 6 and 9. The primary few multiples of 6 and 9 are (6, 12, 18, 24, 30, . . . . ) and (9, 18, 27, 36, . . . ) respectively. There are 3 generally used strategies to search out LCM of 6 and 9 – by prime factorization, by division methodology, and by itemizing multiples.

1. LCM of 6 and 9 2. Listing of Strategies 3. Solved Examples 4. FAQs

**Reply:** LCM of 6 and 9 is eighteen.

Studying: what’s the lcm of 6 and 9

**Rationalization: **

Learn extra: The Historical past and Early Origins of Camphor Glass

The LCM of two non-zero integers, x(6) and y(9), is the smallest constructive integer m(18) that’s divisible by each x(6) and y(9) with none the rest.

The strategies to search out the LCM of 6 and 9 are defined under.

- By Division Methodology
- By Itemizing Multiples
- By Prime Factorization Methodology

### LCM of 6 and 9 by Division Methodology

To calculate the LCM of 6 and 9 by the division methodology, we’ll divide the numbers(6, 9) by their prime components (ideally frequent). The product of those divisors offers the LCM of 6 and 9.

**Step 1:**Discover the prime quantity that may be a issue of at the very least one of many numbers, 6 and 9. Write this prime quantity(2) on the left of the given numbers(6 and 9), separated as per the ladder association.**Step 2:**If any of the given numbers (6, 9) is a a number of of two, divide it by 2 and write the quotient under it. Convey down any quantity that’s not invisible by the prime quantity.**Step 3:**Proceed the steps till solely 1s are left within the final row.

The LCM of 6 and 9 is the product of all prime numbers on the left, ie LCM(6, 9) by division methodology = 2 × 3 × 3 = 18.

### LCM of 6 and 9 by Itemizing Multiples

Learn extra: What does it imply when a man’s nuts quick

To calculate the LCM of 6 and 9 by itemizing out the frequent multiples, we will observe the given under steps:

**Step 1:**Listing a number of multiples of 6 (6, 12, 18, 24, 30, . . . ) and 9 (9, 18, 27, 36, . . . . . )**Step 2:**The frequent multiples from the multiples of 6 and 9 are 18, 36, . . .**Step 3:**The smallest frequent a number of of 6 and 9 is eighteen.

∴ The least frequent a number of of 6 and 9 = 18.

### LCM of 6 and 9 by Prime Factorization

Prime factorization of 6 and 9 is (2 × 3) = 21 × 31 and (3 × 3) = 32 respectively. The LCM of 6 and 9 will be obtained by multiplying prime components raised to their respective highest energy, ie 21 × 32 = 18. Therefore, the LCM of 6 and 9 by prime factorization is eighteen.

**☛ Additionally Examine:**

Learn extra: What does jj da boss do for a dwelling

- LCM of 32 and 64 – 64
- LCM of 36, 60 and 72 – 360
- LCM of 15 and 40 – 120
- LCM of 15, 20 and 25 – 300
- LCM of 12 and 30 – 60
- LCM of three, 5 and 11 – 165
- LCM of 10 and 15 – 30