Least Common Multiple of 4872 and 4879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4872 and 4879 the smallest integer that is 3395784 that is divisible by both numbers.

Least Common Multiple (LCM) of 4872 and 4879 is 3395784.

LCM(4872,4879) = 3395784

LCM of 4872 and 4879

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

LCM of:
and

Least Common Multiple of 4872 and 4879

LCM of 4872 and 4879 is 3395784

Least common multiple can be found by multiplying the highest exponent prime factors of 4872 and 4879. First we will calculate the prime factors of 4872 and 4879.

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

Prime Factorization of 4879


7 4879
17 697
41 41
1

Prime factors of 4879 are 7, 17,41. Prime factorization of 4879 in exponential form is:

4879 = 71×171×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4872 and 4879.

LCM(4872,4879) = 23×31×71×171×291×411
LCM(4872,4879) = 3395784

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

Factors of 4879

List of positive integer factors of 4879 that divides 4879 without a remainder.

1, 7, 17, 41, 119, 287, 697, 4879

Least Common Multiple of 4872 and 4879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4872 and 4879, than apply into the LCM equation.

GCF(4872,4879) = 7
LCM(4872,4879) = ( 4872 × 4879) / 7
LCM(4872,4879) = 23770488 / 7
LCM(4872,4879) = 3395784

Properties of LCM 4872 and 4879

(i) The LCM of 4879 and 4872 is associative

LCM of 4872 and 4879 = LCM of 4879 and 4872

Related Least Common Multiples of 4872

Related Least Common Multiples of 4879

Frequently Asked Questions on LCM of 4872 and 4879

1. What is the LCM of 4872 and 4879?

Answer: LCM of 4872 and 4879 is 3395784.

2. 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.

3. What are the Factors of 4879?

Answer: Factors of 4879 are 1, 7, 17, 41, 119, 287, 697, 4879. There are 8 integers that are factors of 4879. The greatest factor of 4879 is 4879.

4. How to Find the LCM of 4872 and 4879?

Answer:

Least Common Multiple of 4872 and 4879 = 3395784

Step 1: Find the prime factorization of 4872

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

Step 2: Find the prime factorization of 4879

4879 = 7 x 17 x 41

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

LCM = 3395784 = 2 x 2 x 2 x 3 x 7 x 17 x 29 x 41

Step 4: Therefore, the least common multiple of 4872 and 4879 is 3395784.