Least Common Multiple of 4876 and 4884

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 4884 the smallest integer that is 5953596 that is divisible by both numbers.

Least Common Multiple (LCM) of 4876 and 4884 is 5953596.

LCM(4876,4884) = 5953596

LCM of 4876 and 4884

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

LCM of:
and

Least Common Multiple of 4876 and 4884

LCM of 4876 and 4884 is 5953596

Least common multiple can be found by multiplying the highest exponent prime factors of 4876 and 4884. First we will calculate the prime factors of 4876 and 4884.

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 4884


2 4884
2 2442
3 1221
11 407
37 37
1

Prime factors of 4884 are 2, 3, 11,37. Prime factorization of 4884 in exponential form is:

4884 = 22×31×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4876 and 4884.

LCM(4876,4884) = 22×31×111×231×371×531
LCM(4876,4884) = 5953596

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 4884

List of positive integer factors of 4884 that divides 4884 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442, 4884

Least Common Multiple of 4876 and 4884 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 4884, than apply into the LCM equation.

GCF(4876,4884) = 4
LCM(4876,4884) = ( 4876 × 4884) / 4
LCM(4876,4884) = 23814384 / 4
LCM(4876,4884) = 5953596

Properties of LCM 4876 and 4884

(i) The LCM of 4884 and 4876 is associative

LCM of 4876 and 4884 = LCM of 4884 and 4876

Related Least Common Multiples of 4876

Related Least Common Multiples of 4884

Frequently Asked Questions on LCM of 4876 and 4884

1. What is the LCM of 4876 and 4884?

Answer: LCM of 4876 and 4884 is 5953596.

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 4884?

Answer: Factors of 4884 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442, 4884. There are 24 integers that are factors of 4884. The greatest factor of 4884 is 4884.

4. How to Find the LCM of 4876 and 4884?

Answer:

Least Common Multiple of 4876 and 4884 = 5953596

Step 1: Find the prime factorization of 4876

4876 = 2 x 2 x 23 x 53

Step 2: Find the prime factorization of 4884

4884 = 2 x 2 x 3 x 11 x 37

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

LCM = 5953596 = 2 x 2 x 3 x 11 x 23 x 37 x 53

Step 4: Therefore, the least common multiple of 4876 and 4884 is 5953596.