LCM that 12 and 15 is the smallest number among all typical multiples that 12 and 15. The first couple of multiples that 12 and also 15 are (12, 24, 36, 48, 60, 72, 84, . . . ) and also (15, 30, 45, 60, . . . ) respectively. There space 3 typically used techniques to discover LCM the 12 and also 15 - by division method, by prime factorization, and by listing multiples.

You are watching: Least common multiple of 15 and 12

1. | LCM the 12 and also 15 |

2. | List of Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM the 12 and also 15 is 60.

**Explanation: **

The LCM of 2 non-zero integers, x(12) and also y(15), is the smallest hopeful integer m(60) that is divisible through both x(12) and y(15) without any remainder.

The methods to uncover the LCM that 12 and also 15 are described below.

By Listing MultiplesBy element Factorization MethodBy division Method### LCM the 12 and 15 through Listing Multiples

To calculation the LCM that 12 and also 15 by listing out the common multiples, we can follow the given listed below steps:

**Step 1:**list a couple of multiples that 12 (12, 24, 36, 48, 60, 72, 84, . . . ) and 15 (15, 30, 45, 60, . . . . )

**Step 2:**The common multiples native the multiples that 12 and also 15 are 60, 120, . . .

**Step 3:**The smallest common multiple that 12 and also 15 is 60.

∴ The least usual multiple of 12 and 15 = 60.

### LCM the 12 and 15 by element Factorization

Prime administrate of 12 and 15 is (2 × 2 × 3) = 22 × 31 and (3 × 5) = 31 × 51 respectively. LCM the 12 and also 15 have the right to be obtained by multiplying prime factors raised to their respective greatest power, i.e. 22 × 31 × 51 = 60.Hence, the LCM the 12 and 15 by element factorization is 60.

### LCM the 12 and 15 by division Method

To calculate the LCM that 12 and 15 through the division method, we will divide the numbers(12, 15) by their prime determinants (preferably common). The product of these divisors gives the LCM of 12 and also 15.

**Step 3:**proceed the steps until just 1s space left in the last row.

The LCM of 12 and 15 is the product of every prime numbers on the left, i.e. LCM(12, 15) by division method = 2 × 2 × 3 × 5 = 60.

**☛ likewise Check:**

## FAQs ~ above LCM that 12 and also 15

### What is the LCM that 12 and 15?

The **LCM that 12 and 15 is 60**. To find the least usual multiple (LCM) of 12 and also 15, we require to discover the multiples that 12 and 15 (multiples that 12 = 12, 24, 36, 48 . . . . 60; multiples of 15 = 15, 30, 45, 60) and choose the the smallest multiple that is specifically divisible through 12 and 15, i.e., 60.

### Which the the following is the LCM of 12 and 15? 36, 60, 35, 11

The value of LCM the 12, 15 is the smallest usual multiple that 12 and 15. The number to solve the given condition is 60.

### If the LCM that 15 and also 12 is 60, find its GCF.

LCM(15, 12) × GCF(15, 12) = 15 × 12Since the LCM of 15 and also 12 = 60⇒ 60 × GCF(15, 12) = 180Therefore, the greatest usual factor = 180/60 = 3.

### How to find the LCM the 12 and also 15 by element Factorization?

To find the LCM of 12 and also 15 making use of prime factorization, us will uncover the element factors, (12 = 2 × 2 × 3) and also (15 = 3 × 5). LCM of 12 and also 15 is the product of prime determinants raised to their respective greatest exponent amongst the number 12 and also 15.⇒ LCM of 12, 15 = 22 × 31 × 51 = 60.

See more: What Is The Greatest Common Factor Of 56 And 84, 112, Gcf Of 56 And 84

### What is the Relation between GCF and also LCM the 12, 15?

The adhering to equation can be supplied to express the relation between GCF and LCM the 12 and 15, i.e. GCF × LCM = 12 × 15.