LCM the 8 and also 9 is the the smallest number among all common multiples the 8 and also 9. The first few multiples the 8 and also 9 space (8, 16, 24, 32, 40, 48, . . . ) and also (9, 18, 27, 36, 45, . . . ) respectively. There room 3 frequently used methods to discover LCM that 8 and 9 - by division method, through listing multiples, and by element factorization.

You are watching: The lcm of 8 and 9

 1 LCM the 8 and also 9 2 List the Methods 3 Solved Examples 4 FAQs

Answer: LCM that 8 and 9 is 72.

Explanation:

The LCM of two non-zero integers, x(8) and y(9), is the smallest optimistic integer m(72) that is divisible by both x(8) and y(9) without any type of remainder.

The approaches to discover the LCM of 8 and also 9 are defined below.

By division MethodBy element Factorization MethodBy Listing Multiples

### LCM the 8 and also 9 by division Method

To calculation the LCM that 8 and also 9 by the division method, we will divide the numbers(8, 9) by their prime factors (preferably common). The product of these divisors provides the LCM of 8 and 9.

Step 3: continue the steps until only 1s space left in the last row.

The LCM of 8 and 9 is the product of all prime number on the left, i.e. LCM(8, 9) by division method = 2 × 2 × 2 × 3 × 3 = 72.

### LCM of 8 and also 9 by element Factorization

Prime factorization of 8 and 9 is (2 × 2 × 2) = 23 and (3 × 3) = 32 respectively. LCM of 8 and also 9 can be derived by multiply prime components raised to their respective highest power, i.e. 23 × 32 = 72.Hence, the LCM that 8 and 9 by element factorization is 72.

### LCM of 8 and also 9 by Listing Multiples

To calculate the LCM the 8 and 9 through listing out the usual multiples, we can follow the given below steps:

Step 1: list a few multiples of 8 (8, 16, 24, 32, 40, 48, . . . ) and also 9 (9, 18, 27, 36, 45, . . . . )Step 2: The typical multiples native the multiples the 8 and 9 are 72, 144, . . .Step 3: The smallest typical multiple of 8 and 9 is 72.

See more: What Is The Recommended Method For Attaching A Haul Line To A Firearm?

∴ The least typical multiple the 8 and 9 = 72.