LCM the 8 and 9 is the the smallest number among all common multiples of 8 and also 9. The first couple of multiples of 8 and also 9 are (8, 16, 24, 32, 40, 48, . . . ) and also (9, 18, 27, 36, 45, . . . ) respectively. There space 3 typically used techniques to discover LCM of 8 and also 9 - by department method, by listing multiples, and also by element factorization.

You are watching: Least common multiple of 8 and 9

1. | LCM the 8 and also 9 |

2. | List the Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM of 8 and also 9 is 72.

**Explanation: **

The LCM of 2 non-zero integers, x(8) and also y(9), is the smallest hopeful integer m(72) the is divisible by both x(8) and y(9) without any remainder.

The methods to discover the LCM the 8 and also 9 are described below.

By department MethodBy element Factorization MethodBy Listing Multiples### LCM of 8 and 9 by division Method

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

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

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

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

Prime administrate of 8 and also 9 is (2 × 2 × 2) = 23 and (3 × 3) = 32 respectively. LCM that 8 and also 9 have the right to be acquired by multiply prime factors raised to your respective highest possible power, i.e. 23 × 32 = 72.Hence, the LCM of 8 and also 9 by prime factorization is 72.

### LCM that 8 and also 9 through Listing Multiples

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

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

**Step 2:**The usual multiples indigenous the multiples the 8 and 9 room 72, 144, . . .

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

See more: When An Atom Loses An Electron, It Becomes, Chapter 4 Flashcards

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