LCM of 2 and 8 is the smallest number among all common multiples of 2 and also 8. The first couple of multiples that 2 and also 8 room (2, 4, 6, 8, 10, 12, 14, . . . ) and also (8, 16, 24, 32, 40, 48, 56, . . . ) respectively. There are 3 generally used techniques to uncover LCM that 2 and 8 - through listing multiples, by element factorization, and by department method.

You are watching: Least common multiple of 2 and 8

1. | LCM that 2 and also 8 |

2. | List that Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM the 2 and also 8 is 8.

**Explanation: **

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

The methods to discover the LCM of 2 and 8 are described below.

By prime Factorization MethodBy division MethodBy Listing Multiples### LCM of 2 and 8 by prime Factorization

Prime administrate of 2 and 8 is (2) = 21 and (2 × 2 × 2) = 23 respectively. LCM the 2 and 8 deserve to be derived by multiplying prime components raised to their respective highest power, i.e. 23 = 8.Hence, the LCM of 2 and also 8 by prime factorization is 8.

### LCM the 2 and 8 by department Method

To calculation the LCM that 2 and also 8 by the division method, we will certainly divide the numbers(2, 8) by their prime determinants (preferably common). The product of this divisors provides the LCM that 2 and 8.

**Step 3:**proceed the procedures until just 1s room left in the critical row.

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

### LCM that 2 and also 8 through Listing Multiples

To calculation the LCM that 2 and also 8 by listing out the common multiples, we can follow the given below steps:

**Step 1:**list a couple of multiples that 2 (2, 4, 6, 8, 10, 12, 14, . . . ) and 8 (8, 16, 24, 32, 40, 48, 56, . . . . )

**Step 2:**The usual multiples native the multiples that 2 and 8 space 8, 16, . . .

**Step 3:**The smallest typical multiple of 2 and 8 is 8.

See more: How Many Calories In A Junior Bacon Cheeseburger From Wendy'S?

∴ The least typical multiple the 2 and 8 = 8.