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

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

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

Answer: LCM of 6 and also 9 is 18. Explanation:

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

The approaches to discover the LCM the 6 and also 9 are described below.

By division MethodBy Listing MultiplesBy prime Factorization Method

### LCM of 6 and 9 by department Method To calculation the LCM that 6 and 9 by the division method, we will certainly divide the numbers(6, 9) by their prime determinants (preferably common). The product of this divisors gives the LCM of 6 and 9.

Step 3: proceed the steps until only 1s room left in the last row.

The LCM that 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 of 6 and also 9 by Listing Multiples To calculate the LCM that 6 and 9 by listing out the usual multiples, we can follow the given listed below steps:

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

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

See more: 26) The Main Difference Between Pert And Cpm Is That, Difference Between Pert And Cpm (With Table)

### LCM of 6 and also 9 by prime Factorization

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