LCM of 36 and 45 is the smallest number among all usual multiples the 36 and 45. The first few multiples that 36 and 45 room (36, 72, 108, 144, 180, 216, . . . ) and also (45, 90, 135, 180, 225, 270, 315, . . . ) respectively. There room 3 frequently used techniques to uncover LCM of 36 and 45 - by element factorization, by department method, and by listing multiples.

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1. | LCM of 36 and 45 |

2. | List that Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM that 36 and 45 is 180.

**Explanation: **

The LCM of 2 non-zero integers, x(36) and y(45), is the smallest positive integer m(180) that is divisible by both x(36) and also y(45) without any type of remainder.

The approaches to find the LCM the 36 and also 45 are defined below.

By element Factorization MethodBy department MethodBy Listing Multiples### LCM of 36 and also 45 by element Factorization

Prime administrate of 36 and also 45 is (2 × 2 × 3 × 3) = 22 × 32 and (3 × 3 × 5) = 32 × 51 respectively. LCM the 36 and 45 can be derived by multiply prime factors raised to their respective highest power, i.e. 22 × 32 × 51 = 180.Hence, the LCM of 36 and 45 by element factorization is 180.

### LCM the 36 and also 45 by department Method

To calculation the LCM of 36 and 45 by the division method, we will divide the numbers(36, 45) by your prime factors (preferably common). The product of this divisors gives the LCM the 36 and 45.

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

The LCM the 36 and 45 is the product of all prime number on the left, i.e. LCM(36, 45) by division method = 2 × 2 × 3 × 3 × 5 = 180.

### LCM that 36 and 45 by Listing Multiples

To calculate the LCM that 36 and also 45 by listing out the common multiples, we can follow the given listed below steps:

**Step 1:**perform a few multiples of 36 (36, 72, 108, 144, 180, 216, . . . ) and also 45 (45, 90, 135, 180, 225, 270, 315, . . . . )

**Step 2:**The common multiples native the multiples of 36 and 45 room 180, 360, . . .

**Step 3:**The smallest usual multiple that 36 and 45 is 180.

∴ The least common multiple the 36 and also 45 = 180.

**☛ additionally Check:**

## FAQs top top LCM of 36 and 45

### What is the LCM that 36 and also 45?

The **LCM the 36 and also 45 is 180**. To discover the LCM the 36 and also 45, we require to find the multiples the 36 and also 45 (multiples that 36 = 36, 72, 108, 144 . . . . 180; multiples of 45 = 45, 90, 135, 180) and also choose the the smallest multiple that is precisely divisible by 36 and 45, i.e., 180.

### If the LCM the 45 and 36 is 180, find its GCF.

LCM(45, 36) × GCF(45, 36) = 45 × 36Since the LCM of 45 and 36 = 180⇒ 180 × GCF(45, 36) = 1620Therefore, the greatest common factor (GCF) = 1620/180 = 9.

### What is the the very least Perfect Square Divisible by 36 and also 45?

The least number divisible through 36 and also 45 = LCM(36, 45)LCM the 36 and 45 = 2 × 2 × 3 × 3 × 5

### Which of the adhering to is the LCM the 36 and also 45? 27, 5, 180, 16

The worth of LCM that 36, 45 is the smallest common multiple that 36 and 45. The number solve the given condition is 180.

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### What is the Relation between GCF and LCM that 36, 45?

The complying with equation can be used to refer the relation between GCF and LCM the 36 and 45, i.e. GCF × LCM = 36 × 45.