LCM that 6 and 9 is the the smallest number amongst all typical multiples of 6 and also 9. The first few multiples of 6 and 9 space (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . ) respectively. There room 3 frequently used methods to uncover LCM of 6 and 9 - by element factorization, by department method, and also by listing multiples.

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 1 LCM the 6 and also 9 2 List that Methods 3 Solved Examples 4 FAQs

Answer: LCM the 6 and 9 is 18.

Explanation:

The LCM of two non-zero integers, x(6) and also y(9), is the smallest optimistic integer m(18) the is divisible by both x(6) and also y(9) without any type of remainder.

The approaches to uncover the LCM of 6 and also 9 are defined below.

By department MethodBy Listing MultiplesBy element Factorization Method

### LCM that 6 and also 9 by division Method

To calculation the LCM the 6 and also 9 through the division method, we will certainly divide the numbers(6, 9) by your prime determinants (preferably common). The product of this divisors gives the LCM that 6 and also 9.

Step 3: proceed the actions until only 1s space left in the last row.

The LCM that 6 and also 9 is the product of all prime number on the left, i.e. LCM(6, 9) by department method = 2 × 3 × 3 = 18.

### LCM of 6 and 9 by Listing Multiples

To calculation the LCM of 6 and also 9 through listing out the common multiples, we can follow the given below steps:

Step 1: list a couple of multiples of 6 (6, 12, 18, 24, 30, . . . ) and also 9 (9, 18, 27, 36, . . . . )Step 2: The usual multiples from the multiples that 6 and 9 are 18, 36, . . .Step 3: The smallest usual multiple the 6 and 9 is 18.

∴ The least common multiple the 6 and also 9 = 18.

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### LCM of 6 and 9 by prime Factorization

Prime factorization of 6 and also 9 is (2 × 3) = 21 × 31 and (3 × 3) = 32 respectively. LCM the 6 and 9 can be acquired by multiplying prime factors raised to their respective greatest power, i.e. 21 × 32 = 18.Hence, the LCM the 6 and also 9 by element factorization is 18.