The LCM of 24 and 45 is 360.

#### Steps to find LCM

- Find the prime factorization of 24

24 = 2 × 2 × 2 × 3 - Find the prime factorization of 45

45 = 3 × 3 × 5 - Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 2 × 3 × 3 × 5 - LCM =
**360**

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Find least common multiple (LCM) of: 48 & 9072 & 1358 & 15120 & 225168 & 31548 & 4524 & 9072 & 4524 & 135120 & 4524 & 225168 & 4524 & 315

#### LCM Calculator

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## Least common multiple (LCM)

### Least Common Multiple is :

360#### Calculate Least Common Multiple for :

24, 45 and 60

#### Factorize of the above numbers :

24 = 2^{3}• 3

45 = 3

^{2}• 5

60 = 2

^{2}• 3 • 5

#### Build a prime factors table

Prime Factor | Number 24 | Number 45 | Number 60 | L.C.M (max) |
---|---|---|---|---|

2 | 3 | 0 | 2 | 3 |

3 | 1 | 2 | 1 | 2 |

5 | 0 | 1 | 1 | 1 |

^{3}• 3

^{2}• 5

### Least Common Multiple is :

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## LCM of 24 and 45

### FAQs on LCM of 24 and 45

### What is the LCM of 24 and 45?

The ** LCM of 24 and 45 is 360**. To find the least common multiple (LCM) of 24 and 45, we need to find the multiples of 24 and 45 (multiples of 24 = 24, 48, 72, 96 . . . . 360; multiples of 45 = 45, 90, 135, 180 . . . . 360) and choose the smallest multiple that is exactly divisible by 24 and 45, i.e., 360.

### If the LCM of 45 and 24 is 360, Find its GCF.

LCM(45, 24) × GCF(45, 24) = 45 × 24

Since the LCM of 45 and 24 = 360

⇒ 360 × GCF(45, 24) = 1080

Therefore, the greatest common factor (GCF) = 1080/360 = 3.

### What is the Least Perfect Square Divisible by 24 and 45?

The least number divisible by 24 and 45 = LCM(24, 45)

LCM of 24 and 45 = __2 × 2__ × 2 × __3 × 3__ × 5 [Incomplete pair(s): 2, 5]

⇒ Least perfect square divisible by each 24 and 45 = LCM(24, 45) × 2 × 5 = 3600 [Square root of 3600 = √3600 = ±60]

Therefore, 3600 is the required number.

### What is the Relation Between GCF and LCM of 24, 45?

The following equation can be used to express the relation between GCF and LCM of 24 and 45, i.e. GCF × LCM = 24 × 45.

### How to Find the LCM of 24 and 45 by Prime Factorization?

To find the LCM of 24 and 45 using prime factorization, we will find the prime factors, (24 = 2 × 2 × 2 × 3) and (45 = 3 × 3 × 5). LCM of 24 and 45 is the product of prime factors raised to their respective highest exponent among the numbers 24 and 45.

⇒ LCM of 24, 45 = 2^{3} × 3^{2} × 5^{1} = 360.

Sours: https://www.cuemath.com/numbers/lcm-of-24-and-45/

What is the Least Common Multiple (LCM) of 24 and 45? Here we will show you step-by-step how to find the Least Common Multiple of 24 and 45.

**Step 1)**First we find and list the prime factors of 24 and 45 (Prime Factorization):

Prime Factors of 24:

2, 2, 2, 3

Prime Factors of 45:

3, 3, 5

**Step 2)**Then we look at the frequency of the prime factors as they appear in each set above. List each prime factor the greatest number of times it occurs in either sets:

2, 2, 2, 3, 3, 5

**Step 3)**Finally, we multiply the prime numbers from Step 2 together.

2 x 2 x 2 x 3 x 3 x 5 = 360

That's it. The Least Common Multiple (LCM) of 24 and 45 is

**360**.

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**Least Common Multiple (LCM) of 24 and 46**

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## 45 24 and lcm of

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