Least Common Multiple of 4872 and 4876

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 4876 the smallest integer that is 5938968 that is divisible by both numbers.

Least Common Multiple (LCM) of 4872 and 4876 is 5938968.

LCM(4872,4876) = 5938968

LCM of 4872 and 4876

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

LCM of:
and

Least Common Multiple of 4872 and 4876

LCM of 4872 and 4876 is 5938968

Least common multiple can be found by multiplying the highest exponent prime factors of 4872 and 4876. First we will calculate the prime factors of 4872 and 4876.

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 4876


2 4876
2 2438
23 1219
53 53
1

Prime factors of 4876 are 2, 23,53. Prime factorization of 4876 in exponential form is:

4876 = 22×231×531

Now multiplying the highest exponent prime factors to calculate the LCM of 4872 and 4876.

LCM(4872,4876) = 23×31×71×231×291×531
LCM(4872,4876) = 5938968

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 4876

List of positive integer factors of 4876 that divides 4876 without a remainder.

1, 2, 4, 23, 46, 53, 92, 106, 212, 1219, 2438, 4876

Least Common Multiple of 4872 and 4876 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 4876, than apply into the LCM equation.

GCF(4872,4876) = 4
LCM(4872,4876) = ( 4872 × 4876) / 4
LCM(4872,4876) = 23755872 / 4
LCM(4872,4876) = 5938968

Properties of LCM 4872 and 4876

(i) The LCM of 4876 and 4872 is associative

LCM of 4872 and 4876 = LCM of 4876 and 4872

Related Least Common Multiples of 4872

Related Least Common Multiples of 4876

Frequently Asked Questions on LCM of 4872 and 4876

1. What is the LCM of 4872 and 4876?

Answer: LCM of 4872 and 4876 is 5938968.

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 4876?

Answer: Factors of 4876 are 1, 2, 4, 23, 46, 53, 92, 106, 212, 1219, 2438, 4876. There are 12 integers that are factors of 4876. The greatest factor of 4876 is 4876.

4. How to Find the LCM of 4872 and 4876?

Answer:

Least Common Multiple of 4872 and 4876 = 5938968

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 4876

4876 = 2 x 2 x 23 x 53

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

LCM = 5938968 = 2 x 2 x 2 x 3 x 7 x 23 x 29 x 53

Step 4: Therefore, the least common multiple of 4872 and 4876 is 5938968.