Free LCM Calculator determines the least common multiple (LCM) between 8 and 15 the smallest integer that is 120 that is divisible by both numbers.

Least Common Multiple (LCM) of 8 and 15 is **120**.

LCM(8,15) = 120

*Least common multiple* or lowest common denominator (LCD) can be calculated in three ways;

- Least Common Multiple of 8 and 15 by Prime method
- Least Common Multiple of 8 and 15 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 8 and 15. First we will calculate the **prime factors of 8 and 15**.

**Prime Factorization of 8**

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Prime factors of 8 are 2. Prime factorization of **8** in exponential form is:

8 = 2^{3}

**Prime Factorization of 15**

3 | 15 |

5 | 5 |

1 |

Prime factors of 15 are 3,5. Prime factorization of **15** in exponential form is:

15 = 3^{1}×5^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 8 and 15**.

LCM(8,15) = 2^{3}×3^{1}×5^{1}

LCM(8,15) = 120

**Factors of 8**

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

1, 2, 4, 8

**Factors of 15**

List of positive integer factors of 15 that divides 15 without a remainder.

1, 3, 5, 15

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 8 and 15, than apply into the LCM equation.

GCF(8,15) = 1

LCM(8,15) = ( 8 × 15) / 1

LCM(8,15) = 120 / 1

LCM(8,15) = 120

(i) The LCM of 15 and 8 is associative

LCM of 8 and 15 = LCM of 15 and 8

1. What is the LCM of 8 and 15?

Answer: LCM of 8 and 15 is 120.

2. What are the Factors of 8?

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

3. What are the Factors of 15?

Answer: Factors of 15 are 1, 3, 5, 15. There are 4 integers that are factors of 15. The greatest factor of 15 is 15.

4. How to Find the LCM of 8 and 15?

Answer:

Least Common Multiple of 8 and 15 = 120

Step 1: Find the prime factorization of 8

8 = 2 x 2 x 2

Step 2: Find the prime factorization of 15

15 = 3 x 5

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 120 = 2 x 2 x 2 x 3 x 5

Step 4: Therefore, the least common multiple of 8 and 15 is 120.