LCM that 6 and also 9 is the the smallest number among all usual multiples the 6 and also 9. The first few multiples that 6 and 9 room (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . ) respectively. There room 3 commonly used methods to uncover LCM the 6 and 9 - by element factorization, by division method, and also by listing multiples.

You are watching: What is the lcm of 9 and 6

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

The approaches to uncover the LCM the 6 and also 9 are defined below.

By department MethodBy Listing MultiplesBy prime Factorization Method

### LCM that 6 and 9 by division Method

To calculate the LCM of 6 and 9 by the division 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 just 1s space left in the last row.

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

### LCM the 6 and 9 by Listing Multiples

To calculation the LCM that 6 and 9 by listing out the usual 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 typical multiples indigenous the multiples the 6 and 9 space 18, 36, . . .Step 3: The smallest usual multiple the 6 and 9 is 18.

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

See more: What Does Jesus H Christ Mean, What Does The H Stand For In Jesus H Christ

### LCM that 6 and 9 by element Factorization

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