LCM the 8 and also 16 is the smallest number among all typical multiples of 8 and also 16. The first couple of multiples that 8 and also 16 are (8, 16, 24, 32, 40, 48, . . . ) and (16, 32, 48, 64, 80, 96, 112, . . . ) respectively. There are 3 generally used techniques to find LCM of 8 and 16 - by element factorization, by department method, and by listing multiples.

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1. | LCM of 8 and 16 |

2. | List that Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM the 8 and 16 is 16.

**Explanation: **

The LCM of two non-zero integers, x(8) and y(16), is the smallest positive integer m(16) the is divisible by both x(8) and y(16) without any remainder.

The methods to uncover the LCM the 8 and 16 are explained below.

By division MethodBy element Factorization MethodBy Listing Multiples### LCM of 8 and also 16 by division Method

To calculation the LCM of 8 and also 16 by the division method, we will certainly divide the numbers(8, 16) by your prime components (preferably common). The product of these divisors gives the LCM of 8 and also 16.

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

The LCM that 8 and 16 is the product of all prime numbers on the left, i.e. LCM(8, 16) by department method = 2 × 2 × 2 × 2 = 16.

### LCM of 8 and also 16 by prime Factorization

Prime administrate of 8 and also 16 is (2 × 2 × 2) = 23 and also (2 × 2 × 2 × 2) = 24 respectively. LCM the 8 and 16 can be derived by multiply prime determinants raised to your respective highest power, i.e. 24 = 16.Hence, the LCM that 8 and 16 by prime factorization is 16.

### LCM the 8 and 16 by Listing Multiples

To calculation the LCM of 8 and also 16 by listing out the common multiples, we have the right to follow the given below steps:

**Step 1:**list a couple of multiples the 8 (8, 16, 24, 32, 40, 48, . . . ) and also 16 (16, 32, 48, 64, 80, 96, 112, . . . . )

**Step 2:**The usual multiples indigenous the multiples that 8 and 16 room 16, 32, . . .

**Step 3:**The smallest common multiple the 8 and 16 is 16.

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∴ The least usual multiple of 8 and 16 = 16.