Least Common Multiple of 4869 and 4872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4869 and 4872 the smallest integer that is 7907256 that is divisible by both numbers.

Least Common Multiple (LCM) of 4869 and 4872 is 7907256.

LCM(4869,4872) = 7907256

LCM of 4869 and 4872

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4869 and 4872

LCM of 4869 and 4872 is 7907256

Least common multiple can be found by multiplying the highest exponent prime factors of 4869 and 4872. First we will calculate the prime factors of 4869 and 4872.

Prime Factorization of 4869


3 4869
3 1623
541 541
1

Prime factors of 4869 are 3,541. Prime factorization of 4869 in exponential form is:

4869 = 32×5411

Prime Factorization of 4872


2 4872
2 2436
2 1218
3 609
7 203
29 29
1

Prime factors of 4872 are 2, 3, 7,29. Prime factorization of 4872 in exponential form is:

4872 = 23×31×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4869 and 4872.

LCM(4869,4872) = 23×32×71×291×5411
LCM(4869,4872) = 7907256

Factors of 4869

List of positive integer factors of 4869 that divides 4869 without a remainder.

1, 3, 9, 541, 1623, 4869

Factors of 4872

List of positive integer factors of 4872 that divides 4872 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436, 4872

Least Common Multiple of 4869 and 4872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4869 and 4872, than apply into the LCM equation.

GCF(4869,4872) = 3
LCM(4869,4872) = ( 4869 × 4872) / 3
LCM(4869,4872) = 23721768 / 3
LCM(4869,4872) = 7907256

Properties of LCM 4869 and 4872

(i) The LCM of 4872 and 4869 is associative

LCM of 4869 and 4872 = LCM of 4872 and 4869

Related Least Common Multiples of 4869

Related Least Common Multiples of 4872

Frequently Asked Questions on LCM of 4869 and 4872

1. What is the LCM of 4869 and 4872?

Answer: LCM of 4869 and 4872 is 7907256.

2. What are the Factors of 4869?

Answer: Factors of 4869 are 1, 3, 9, 541, 1623, 4869. There are 6 integers that are factors of 4869. The greatest factor of 4869 is 4869.

3. What are the Factors of 4872?

Answer: Factors of 4872 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436, 4872. There are 32 integers that are factors of 4872. The greatest factor of 4872 is 4872.

4. How to Find the LCM of 4869 and 4872?

Answer:

Least Common Multiple of 4869 and 4872 = 7907256

Step 1: Find the prime factorization of 4869

4869 = 3 x 3 x 541

Step 2: Find the prime factorization of 4872

4872 = 2 x 2 x 2 x 3 x 7 x 29

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 7907256 = 2 x 2 x 2 x 3 x 3 x 7 x 29 x 541

Step 4: Therefore, the least common multiple of 4869 and 4872 is 7907256.