Least Common Multiple of 4876 and 4883

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 4883 the smallest integer that is 23809508 that is divisible by both numbers.

Least Common Multiple (LCM) of 4876 and 4883 is 23809508.

LCM(4876,4883) = 23809508

LCM of 4876 and 4883

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

LCM of:
and

Least Common Multiple of 4876 and 4883

LCM of 4876 and 4883 is 23809508

Least common multiple can be found by multiplying the highest exponent prime factors of 4876 and 4883. First we will calculate the prime factors of 4876 and 4883.

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 4883


19 4883
257 257
1

Prime factors of 4883 are 19,257. Prime factorization of 4883 in exponential form is:

4883 = 191×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 4876 and 4883.

LCM(4876,4883) = 22×191×231×531×2571
LCM(4876,4883) = 23809508

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 4883

List of positive integer factors of 4883 that divides 4883 without a remainder.

1, 19, 257, 4883

Least Common Multiple of 4876 and 4883 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 4883, than apply into the LCM equation.

GCF(4876,4883) = 1
LCM(4876,4883) = ( 4876 × 4883) / 1
LCM(4876,4883) = 23809508 / 1
LCM(4876,4883) = 23809508

Properties of LCM 4876 and 4883

(i) The LCM of 4883 and 4876 is associative

LCM of 4876 and 4883 = LCM of 4883 and 4876

Related Least Common Multiples of 4876

Related Least Common Multiples of 4883

Frequently Asked Questions on LCM of 4876 and 4883

1. What is the LCM of 4876 and 4883?

Answer: LCM of 4876 and 4883 is 23809508.

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 4883?

Answer: Factors of 4883 are 1, 19, 257, 4883. There are 4 integers that are factors of 4883. The greatest factor of 4883 is 4883.

4. How to Find the LCM of 4876 and 4883?

Answer:

Least Common Multiple of 4876 and 4883 = 23809508

Step 1: Find the prime factorization of 4876

4876 = 2 x 2 x 23 x 53

Step 2: Find the prime factorization of 4883

4883 = 19 x 257

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

LCM = 23809508 = 2 x 2 x 19 x 23 x 53 x 257

Step 4: Therefore, the least common multiple of 4876 and 4883 is 23809508.