LCM that 6 and 9 is the the smallest number amongst all typical multiples the 6 and also 9. The first couple of multiples of 6 and also 9 space (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . ) respectively. There room 3 typically used techniques to find 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 the 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 y(9), is the smallest positive integer m(18) that is divisible through both x(6) and y(9) without any kind of remainder.

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

By division MethodBy Listing MultiplesBy prime Factorization Method

### LCM the 6 and also 9 by department Method

To calculate the LCM the 6 and 9 through the department method, we will certainly divide the numbers(6, 9) by your prime factors (preferably common). The product of these divisors gives the LCM that 6 and also 9.

Step 3: continue the procedures until just 1s are left in the critical row.

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

### LCM the 6 and 9 by Listing Multiples

To calculate the LCM the 6 and also 9 through listing out the typical multiples, we have the right to follow the given listed below steps:

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

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

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### LCM the 6 and 9 by element Factorization

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