LCM of 15 and also 27 is the smallest number amongst all usual multiples of 15 and also 27. The first few multiples of 15 and also 27 space (15, 30, 45, 60, 75, . . . ) and also (27, 54, 81, 108, . . . ) respectively. There room 3 commonly used techniques to find LCM of 15 and 27 - by department method, by prime factorization, and also by listing multiples.

You are watching: Least common multiple of 15 and 27

1. | LCM the 15 and 27 |

2. | List of Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM that 15 and also 27 is 135.

**Explanation: **

The LCM of 2 non-zero integers, x(15) and y(27), is the smallest positive integer m(135) the is divisible by both x(15) and y(27) without any type of remainder.

Let's look in ~ the different methods because that finding the LCM the 15 and also 27.

By element Factorization MethodBy division MethodBy Listing Multiples### LCM the 15 and 27 by element Factorization

Prime factorization of 15 and 27 is (3 × 5) = 31 × 51 and (3 × 3 × 3) = 33 respectively. LCM the 15 and 27 deserve to be derived by multiply prime components raised to your respective highest possible power, i.e. 33 × 51 = 135.Hence, the LCM the 15 and also 27 by prime factorization is 135.

### LCM the 15 and 27 by division Method

To calculate the LCM the 15 and also 27 by the division method, we will divide the numbers(15, 27) by your prime components (preferably common). The product of this divisors offers the LCM the 15 and 27.

**Step 3:**continue the measures until just 1s room left in the last row.

The LCM the 15 and 27 is the product of all prime number on the left, i.e. LCM(15, 27) by division method = 3 × 3 × 3 × 5 = 135.

### LCM the 15 and 27 through Listing Multiples

To calculation the LCM that 15 and also 27 by listing the end the typical multiples, we deserve to follow the given below steps:

**Step 1:**perform a couple of multiples of 15 (15, 30, 45, 60, 75, . . . ) and 27 (27, 54, 81, 108, . . . . )

**Step 2:**The typical multiples from the multiples the 15 and 27 space 135, 270, . . .

**Step 3:**The smallest usual multiple of 15 and also 27 is 135.

∴ The least typical multiple the 15 and 27 = 135.

**☛ also Check:**

## FAQs ~ above LCM of 15 and 27

### What is the LCM the 15 and also 27?

### How to uncover the LCM the 15 and also 27 by prime Factorization?

To find the LCM of 15 and also 27 using prime factorization, us will discover the prime factors, (15 = 3 × 5) and also (27 = 3 × 3 × 3). LCM the 15 and 27 is the product that prime components raised to their respective greatest exponent amongst the numbers 15 and 27.⇒ LCM that 15, 27 = 33 × 51 = 135.

### What is the Relation in between GCF and LCM that 15, 27?

The following equation deserve to be supplied to to express the relation in between GCF and also LCM the 15 and 27, i.e. GCF × LCM = 15 × 27.

### Which that the following is the LCM that 15 and also 27? 5, 42, 135, 16

The value of LCM of 15, 27 is the smallest usual multiple of 15 and also 27. The number solve the given problem is 135.

### If the LCM of 27 and 15 is 135, find its GCF.

See more: Elfs Or Elves: What Is The Plural Of Elf S Or Elves: What Is The Plural Of Elf?

LCM(27, 15) × GCF(27, 15) = 27 × 15Since the LCM of 27 and 15 = 135⇒ 135 × GCF(27, 15) = 405Therefore, the greatest usual factor = 405/135 = 3.