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

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 1 LCM of 6 and 9 2 List of Methods 3 Solved Examples 4 FAQs

Answer: LCM the 6 and 9 is 18.

Explanation:

The LCM of 2 non-zero integers, x(6) and y(9), is the smallest positive integer m(18) that is divisible by both x(6) and y(9) without any kind of remainder.

The techniques to discover the LCM that 6 and also 9 are defined below.

By division MethodBy Listing MultiplesBy prime Factorization Method

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

To calculate the LCM that 6 and 9 through the department method, we will divide the numbers(6, 9) by their prime components (preferably common). The product of this divisors gives the LCM of 6 and 9.

Step 3: continue the measures until just 1s space left in the critical 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 through Listing Multiples

To calculate the LCM of 6 and 9 by listing out the typical multiples, we can follow the given listed below steps:

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

∴ The least usual multiple that 6 and 9 = 18.

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### LCM the 6 and 9 by prime Factorization

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