Free LCM Calculator identify the least common multiple (LCM) between 6 and 8 the the smallest integer the is 24 that is divisible by both numbers.

You are watching: The least common multiple of 6 and 8

Least common Multiple (LCM) the 6 and 8 is **24**.

LCM(6,8) = 24

Least common multiple have the right to be discovered by multiplying the highest possible exponent prime determinants of 6 and also 8. Very first we will calculate the **prime components of 6 and also 8**.

**Prime administrate of 6**

2 | 6 |

3 | 3 |

1 |

Prime determinants of 6 room 2,3. Prime factorization of **6** in exponential form is:

6 = 21×31**Prime administer of 8**

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Prime determinants of 8 room 2. Element factorization of **8** in exponential form is:

8 = 23Now multiplying the highest exponent prime determinants to calculation the **LCM that 6 and 8**.

LCM(6,8) = 23×31LCM(6,8) = 24

**Factors that 6**

List of positive integer determinants of 6 that divides 6 there is no a remainder.

1, 2, 3, 6

**Factors the 8**

List of positive integer determinants of 8 the divides 8 without a remainder.

1, 2, 4, 8

### Least typical Multiple of 6 and also 8 with GCF Formula

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).We should calculate greatest typical factor 6 and 8, than use into the LCM equation.

GCF(6,8) = 2LCM(6,8) = ( 6 × 8) / 2LCM(6,8) = 48 / 2LCM(6,8) = 24

### Properties that LCM 6 and also 8

(i) The LCM that 8 and 6 is associative

LCM that 6 and also 8 = LCM that 8 and also 6

Related Least common Multiples that 6

Related Least typical Multiples that 8

### Frequently Asked concerns on LCM of 6 and 8

1. What is the LCM that 6 and 8?

Answer: LCM that 6 and 8 is 24.

2. What room the components of 6?

Answer: components of 6 are 1, 2, 3, 6. There space 4 integers that are components of 6. The greatest factor of 6 is 6.

3. What room the determinants of 8?

Answer: determinants of 8 are 1, 2, 4, 8. There space 4 integers the are factors of 8. The greatest element of 8 is 8.

See more: Why Do Litigants Have To Leave Their Papers On Judge Judy '

4. Just how to uncover the LCM of 6 and 8?

Answer:

Least typical Multiple the 6 and also 8 = 24

Step 1: uncover the prime factorization that 6

6 = 2 x 3

Step 2: find the prime factorization that 8

8 = 2 x 2 x 2

Step 3: multiply each variable the greater number of times it wake up in steps i) or ii) over to find the lcm:

LCM = 24 = 2 x 2 x 2 x 3

Step 4: Therefore, the least typical multiple of 6 and also 8 is 24.

favorite Calculators

Most popular

agency Follow us