LCM of 24 and 36 by Prime Factorization

LCM of 24 and 36 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 2^{3} Ã— 3^{2} = **72**. Hence, the LCM of 24 and 36 by prime factorization is 72.

Similarly, What is the LCM of prime numbers?

The LCM of two or more prime numbers is **equal to their product**.

Additionally, How do you find the HCF and LCM of two numbers by using prime factorization? Start by writing 24 and 180 as the product of their prime factors. To find the HCF, find any prime factors that are in common between the products. Each product contains two 2s and one 3, so use these for the HCF. To find the LCM, **multiply the HCF by all the numbers in the products that have not yet been used**.

## What are the GCF and LCM of 24 and 36 respectively?

LCM is the least common factor the number common in both and left numbers, Therefore, HCF and LCM of numbers 24 and 36 are **12 and 72** respectively.

## What is the LCD of 24 and 36?

Explanation: The LCM of 24 and 36 is the smallest positive integer that divides the numbers 24 and 36 without a remainder. If you just want to know what is the least common multiple of 24 and 36, it is **72**.

**What is the LCM of two primes?**

The least common multiple or LCM of two prime numbers is **the product of the two numbers**.

**What is the LCM of two prime numbers called?**

Step-by-step explanation:

Because the two LCM of prime numbers are called **composite numbers**.

**What is the LCM of prime number A and B?**

If a and b are two prime numbers then find LCM (a,b). Solution: LCM of two prime numbers **is always the product of these two numbers** as their common factor is only 1.

**How do you find the HCF using prime factorization?**

HCF by Prime Factorization

- Find the prime factors of each of the given number.
- Next, we identify the common prime factors of the given numbers.
- We then multiply the common factors. The product of these common factors is the HCF of the given numbers.

**How do you find the LCM and HCF of two numbers?**

The formula that shows the relationship between their LCM and HCF is: **LCM (a,b) Ã— HCF (a,b) = a Ã— b**. For example, let us take two numbers 12 and 8. Let us use the formula: LCM (12,8) Ã— HCF (12,8) = 12 Ã— 8. The LCM of 12 and 8 is 24; and the HCF of 12 and 8 is 4.

**What is the LCM of 36?**

LCM of

36 and 45

is the smallest number among all common multiples of 36 and 45. The first few multiples of 36 and 45 are (36, 72, 108, 144, 180, 216, . . . ) and (45, 90, 135, 180, 225, 270, 315, . . . )

…

LCM of 36 and 45.

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LCM of 36 and 45 |
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3. | Solved Examples |

4. | FAQs |

**What is the GCF of 36?**

1, 2, 3, 4, 6, 9, 12, 18, and 36. 1, 2, 3, 6, 9, 18, 27, and 54. Although the numbers in bold are all common factors of both 36 and 54, **18** is the greatest common factor. The second method to find the greatest common factor is to list the prime factors, then multiply the common prime factors.

**How do you find the LCM of 24?**

Steps to find LCM

- Find the prime factorization of 24. 24 = 2 Ã— 2 Ã— 2 Ã— 3.
- Find the prime factorization of 24. 24 = 2 Ã— 2 Ã— 2 Ã— 3.
- LCM = 2 Ã— 2 Ã— 2 Ã— 3.
- LCM = 24.

**What is the LCD of 36?**

Answer: Two whole numbers whose least common denominator is **36** could be many different pairs: 1 and 36, 2 and 36, 3 and 36, 4 and 36, 4 and 18, 4 and 9, 6 and 36, 9 and 36, 9 and 12, 12 and 36, 12 and 18, 18 and 36, and lastly 36 and 36.

**What is a common factor of 36 and 24?**

There are 6 common factors of 24 and 36, that are 1, 2, 3, 4, 6, and **12**. Therefore, the greatest common factor of 24 and 36 is 12.

**How do you find the LCM of 24?**

Steps to find LCM

- Find the prime factorization of 24. 24 = 2 Ã— 2 Ã— 2 Ã— 3.
- Find the prime factorization of 36. 36 = 2 Ã— 2 Ã— 3 Ã— 3.
- LCM = 2 Ã— 2 Ã— 2 Ã— 3 Ã— 3.
- LCM = 72.

**Why LCM of two prime numbers is their product?**

A common multiple of two numbers is a composite number that both numbers can divide evenly. That means that if those numbers have no prime factors in common, then indeed, their product is the **smallest common multiple of the two**.

**What is the HCF of 2 prime numbers?**

Answer: HCF of 2 prime numbers is always **1**.

**What is the HCF and LCM of two prime number?**

Prime numbers are the numbers that are only divided by 1 and the number itself, and prime factoring these numbers is a process of writing a number of products of its prime factors. LCM of the two considered prime numbers is 15. … , so the only common factor to both the numbers is 1, **so 1 is the HCF of the two numbers**.

**What is HCF of two prime numbers?**

Answer: HCF of 2 prime numbers is **always 1**.

Prime Numbers do not have any common factor apart from the universal factor this is 1. Numbers that have only 1 as their common factor are also known as co-prime numbers.

**Is product of two prime numbers is always equal to their LCM?**

The product of any two prime number is equal to **the product of their HCF and LCM**.

**What is the product of the HCF and LCM of two prime numbers A and B?**

Therefore **ab** is the correct answer.

**What is the HCF of a B where A and B are the prime numbers?**

It means any two prime numbers will have only one common factor and that would be ‘**1**‘, as per the definitions of prime number and highest common factor. Hence, any two different prime numbers will have the highest common factor as ‘1’. It means the H.C.F. of given two prime numbers a and b is 1.