LCM of 6 and also 9 is the smallest number among all common multiples the 6 and 9. The first few multiples of 6 and 9 room (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . ) respectively. There room 3 generally used techniques to discover LCM the 6 and also 9 - by prime factorization, by department method, and also by listing multiples.

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

Answer: LCM of 6 and 9 is 18.

Explanation:

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

The methods to find the LCM that 6 and also 9 are explained below.

By division MethodBy Listing MultiplesBy prime Factorization Method

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

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

Step 3: continue the actions until only 1s room left in the critical row.

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

### LCM the 6 and 9 by Listing Multiples

To calculate the LCM of 6 and also 9 by listing the end the common multiples, we deserve to follow the given below steps:

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

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

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### LCM of 6 and also 9 by element 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 obtained by multiply prime determinants raised to your respective highest power, i.e. 21 × 32 = 18.Hence, the LCM the 6 and 9 by element factorization is 18.