# what is the least common multiple of 3 and 9

LCM of 3 and 9LCM of 3 and 9 is the smallest of all common multiples of 3 and 9. The first multiples of 3 and 9 are (3, 6, 9, 12, 15,…) and ( 9, 18, 27, 36, 45, 54, 63,…). There are 3 commonly used methods to find the LCM of 3 and 9 – by division, by prime factors, and by enumerating multiples. 1. LCM of 3 and 9 2. List of methods 3. Solved examples 4. FAQ**Answer:** The LCM of 3 and 9 is 9. Read: what is the most common multiple of 3 and 9 **Explanation: **Read more: What are healing foods? ) without any residuals. Let’s see the different methods to find the LCM of 3 and 9.

- According to the division method
- According to the prime factorization method
- By multiples of the list

### LCM of 3 and 9 by Division Method

To calculate the LCM of 3 and 9 using the division method, we divide the numbers (3, 9) by their prime factors (preferably common). The product of these divisors for the LCM is 3 and 9.

**Step 1:**Find the smallest prime number that is a factor of at least one of the numbers, 3 and 9. Write this prime (3) to the left of the given numbers (3 and 9), separated by a ladder arrangement. .**Step 2:**If a given number (3, 9) is a multiple of 3 then divide it by 3 and write the quotient below. Bring down any number that is not divisible by primes.**Step 3:**Continue the steps until there are only 1s left in the last row.

The LCM of 3 and 9 is the product of all the primes to the left, i.e. LCM (3, 9) by division = 3 × 3 = 9.

### LCM of 3 and 9 in prime factors

Read more: Remove Amazon Assistant aa.hta Virus | Instructions for completely uninstalling the virus The factorization of 3 and 9 is (3) = 31 and (3 × 3) = 32, respectively. The LCM of 3 and 9 can be obtained by multiplying integer factors. factors are raised to their highest powers, i.e. 32 = 9. Hence, the LCM of 3 and 9 by multiplying the prime factor is 9.

### LCM of 3 and 9 in List Multiples

To calculate the LCM of 3 and 9 by enumerating common multiples, we can follow these steps:

**Step 1:**List some multiples of 3 (3, 6, 9, 12, 15,…) and 9 (9, 18, 27, 36, 45, 54, 63,…)**Step 2:**The common multiples from the multiples of 3 and 9 are 9, 18 ,. . .**Step 3:**The least common multiple of 3 and 9 is 9.

∴ Least common multiple of 3 and 9 = 9.**☛ Also check:**Read more: What is the factor of 27

- LCM of 6 and 7 – 42
- LCM of 4 and 10 – 20
- LCM of 25 and 100 – 100
- LCM of 3 and 7 – 21
- LCM of 56 and 72 – 504
- LCM of 13 and 15 – 195
- LCM of 8 and 42 – 168

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