LCM of 6 and also 9 is the the smallest number among all common multiples that 6 and 9. The first few multiples of 6 and also 9 space (6, 12, 18, 24, 30, . . . ) and also (9, 18, 27, 36, . . . ) respectively. There are 3 typically used techniques to find LCM of 6 and 9 - by element factorization, by department method, and by listing multiples.

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 1 LCM of 6 and also 9 2 List the 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 y(9), is the smallest confident integer m(18) that is divisible by both x(6) and also y(9) without any remainder.

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

By division MethodBy Listing MultiplesBy prime Factorization Method

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

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

Step 3: continue the measures until just 1s space left in the last row.

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

### LCM that 6 and 9 through Listing Multiples

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

Step 1: perform a few multiples the 6 (6, 12, 18, 24, 30, . . . ) and 9 (9, 18, 27, 36, . . . . )Step 2: The common multiples from the multiples the 6 and 9 are 18, 36, . . .Step 3: The smallest usual multiple the 6 and 9 is 18.

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

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### LCM that 6 and also 9 by element Factorization

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