LCM the 6 and 9 is the the smallest number amongst all usual multiples that 6 and 9. The first few multiples the 6 and 9 room (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . ) respectively. There room 3 frequently used methods to discover 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 that 6 and also 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 y(9) without any type of remainder.

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

By division MethodBy Listing MultiplesBy element Factorization Method

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

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

Step 3: continue the procedures until only 1s space left in the critical row.

The LCM the 6 and 9 is the product of every 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 calculation the LCM the 6 and 9 by listing the end the usual multiples, we can 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 typical multiples native the multiples that 6 and also 9 room 18, 36, . . .Step 3: The smallest usual multiple that 6 and 9 is 18.

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

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### LCM of 6 and 9 by element Factorization

Prime administer of 6 and also 9 is (2 × 3) = 21 × 31 and also (3 × 3) = 32 respectively. LCM the 6 and 9 deserve to be obtained by multiplying prime components raised to their respective highest possible power, i.e. 21 × 32 = 18.Hence, the LCM that 6 and 9 by prime factorization is 18.