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

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1. | LCM of 8 and also 9 |

2. | List the Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM the 8 and 9 is 72.

**Explanation: **

The LCM of 2 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 kind of remainder.

The approaches to uncover the LCM the 8 and 9 are described below.

By department MethodBy prime Factorization MethodBy Listing Multiples### LCM the 8 and 9 by division Method

To calculation the LCM the 8 and also 9 by the department method, we will divide the numbers(8, 9) by your prime determinants (preferably common). The product of this divisors gives the LCM that 8 and 9.

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

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

### LCM that 8 and 9 by prime Factorization

Prime factorization of 8 and also 9 is (2 × 2 × 2) = 23 and also (3 × 3) = 32 respectively. LCM that 8 and 9 deserve to be obtained by multiplying prime determinants raised to their respective greatest power, i.e. 23 × 32 = 72.Hence, the LCM of 8 and also 9 by prime factorization is 72.

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

To calculate the LCM the 8 and also 9 by listing the end the common multiples, we have the right to follow the given listed below steps:

**Step 1:**list a few multiples of 8 (8, 16, 24, 32, 40, 48, . . . ) and 9 (9, 18, 27, 36, 45, . . . . )

**Step 2:**The typical multiples from the multiples the 8 and also 9 are 72, 144, . . .

**Step 3:**The smallest common multiple that 8 and 9 is 72.

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∴ The least common multiple that 8 and also 9 = 72.