Free LCM Calculator identify the least usual multiple (LCM) in between 8 and 12 the smallest integer the is 24 the is divisible through both numbers.

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Least common Multiple (LCM) that 8 and also 12 is **24**.

LCM(8,12) = 24

Least common multiple have the right to be discovered by multiply the highest exponent prime factors of 8 and 12. First we will certainly calculate the **prime components of 8 and also 12**.

**Prime administrate of 8**

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Prime factors of 8 space 2. Element factorization that **8** in exponential type is:

8 = 23**Prime factorization of 12**

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Prime factors of 12 space 2,3. Element factorization of **12** in exponential type is:

12 = 22×31Now multiply the highest exponent prime determinants to calculate the **LCM of 8 and also 12**.

LCM(8,12) = 23×31LCM(8,12) = 24

**Factors the 8**

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

1, 2, 4, 8

**Factors of 12**

List of hopeful integer components of 12 that divides 12 there is no a remainder.

1, 2, 3, 4, 6, 12

### Least common Multiple that 8 and also 12 v GCF Formula

The formula that **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).We need to calculate greatest typical factor 8 and 12, than use into the LCM equation.

GCF(8,12) = 4LCM(8,12) = ( 8 × 12) / 4LCM(8,12) = 96 / 4LCM(8,12) = 24

### Properties the LCM 8 and also 12

(i) The LCM of 12 and also 8 is associative

LCM that 8 and 12 = LCM the 12 and also 8

Related Least usual Multiples of 8

Related Least common Multiples of 12

### Frequently Asked inquiries on LCM that 8 and 12

1. What is the LCM of 8 and also 12?

Answer: LCM that 8 and 12 is 24.

2. What room the determinants of 8?

Answer: components of 8 space 1, 2, 4, 8. There are 4 integers that are components of 8. The greatest factor of 8 is 8.

3. What space the determinants of 12?

Answer: factors of 12 are 1, 2, 3, 4, 6, 12. There are 6 integers that are factors of 12. The greatest variable of 12 is 12.

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4. Exactly how to find the LCM the 8 and 12?

Answer:

Least typical Multiple of 8 and also 12 = 24

Step 1: discover the element factorization that 8

8 = 2 x 2 x 2

Step 2: discover the element factorization that 12

12 = 2 x 2 x 3

Step 3: multiply each variable the greater variety of times it wake up in steps i) or ii) above to uncover the lcm:

LCM = 24 = 2 x 2 x 2 x 3

Step 4: Therefore, the least typical multiple the 8 and also 12 is 24.

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