Least Common Multiple of 4876 and 4882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4876 and 4882 the smallest integer that is 11902316 that is divisible by both numbers.

Least Common Multiple (LCM) of 4876 and 4882 is 11902316.

LCM(4876,4882) = 11902316

LCM of 4876 and 4882

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

LCM of:
and

Least Common Multiple of 4876 and 4882

LCM of 4876 and 4882 is 11902316

Least common multiple can be found by multiplying the highest exponent prime factors of 4876 and 4882. First we will calculate the prime factors of 4876 and 4882.

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

Prime Factorization of 4882


2 4882
2441 2441
1

Prime factors of 4882 are 2,2441. Prime factorization of 4882 in exponential form is:

4882 = 21×24411

Now multiplying the highest exponent prime factors to calculate the LCM of 4876 and 4882.

LCM(4876,4882) = 22×231×531×24411
LCM(4876,4882) = 11902316

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

Factors of 4882

List of positive integer factors of 4882 that divides 4882 without a remainder.

1, 2, 2441, 4882

Least Common Multiple of 4876 and 4882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4876 and 4882, than apply into the LCM equation.

GCF(4876,4882) = 2
LCM(4876,4882) = ( 4876 × 4882) / 2
LCM(4876,4882) = 23804632 / 2
LCM(4876,4882) = 11902316

Properties of LCM 4876 and 4882

(i) The LCM of 4882 and 4876 is associative

LCM of 4876 and 4882 = LCM of 4882 and 4876

Related Least Common Multiples of 4876

Related Least Common Multiples of 4882

Frequently Asked Questions on LCM of 4876 and 4882

1. What is the LCM of 4876 and 4882?

Answer: LCM of 4876 and 4882 is 11902316.

2. 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.

3. What are the Factors of 4882?

Answer: Factors of 4882 are 1, 2, 2441, 4882. There are 4 integers that are factors of 4882. The greatest factor of 4882 is 4882.

4. How to Find the LCM of 4876 and 4882?

Answer:

Least Common Multiple of 4876 and 4882 = 11902316

Step 1: Find the prime factorization of 4876

4876 = 2 x 2 x 23 x 53

Step 2: Find the prime factorization of 4882

4882 = 2 x 2441

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

LCM = 11902316 = 2 x 2 x 23 x 53 x 2441

Step 4: Therefore, the least common multiple of 4876 and 4882 is 11902316.