Least Common Multiple of 4875 and 4881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4875 and 4881 the smallest integer that is 7931625 that is divisible by both numbers.

Least Common Multiple (LCM) of 4875 and 4881 is 7931625.

LCM(4875,4881) = 7931625

LCM of 4875 and 4881

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

LCM of:
and

Least Common Multiple of 4875 and 4881

LCM of 4875 and 4881 is 7931625

Least common multiple can be found by multiplying the highest exponent prime factors of 4875 and 4881. First we will calculate the prime factors of 4875 and 4881.

Prime Factorization of 4875


3 4875
5 1625
5 325
5 65
13 13
1

Prime factors of 4875 are 3, 5,13. Prime factorization of 4875 in exponential form is:

4875 = 31×53×131

Prime Factorization of 4881


3 4881
1627 1627
1

Prime factors of 4881 are 3,1627. Prime factorization of 4881 in exponential form is:

4881 = 31×16271

Now multiplying the highest exponent prime factors to calculate the LCM of 4875 and 4881.

LCM(4875,4881) = 31×53×131×16271
LCM(4875,4881) = 7931625

Factors of 4875

List of positive integer factors of 4875 that divides 4875 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625, 4875

Factors of 4881

List of positive integer factors of 4881 that divides 4881 without a remainder.

1, 3, 1627, 4881

Least Common Multiple of 4875 and 4881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4875 and 4881, than apply into the LCM equation.

GCF(4875,4881) = 3
LCM(4875,4881) = ( 4875 × 4881) / 3
LCM(4875,4881) = 23794875 / 3
LCM(4875,4881) = 7931625

Properties of LCM 4875 and 4881

(i) The LCM of 4881 and 4875 is associative

LCM of 4875 and 4881 = LCM of 4881 and 4875

Related Least Common Multiples of 4875

Related Least Common Multiples of 4881

Frequently Asked Questions on LCM of 4875 and 4881

1. What is the LCM of 4875 and 4881?

Answer: LCM of 4875 and 4881 is 7931625.

2. What are the Factors of 4875?

Answer: Factors of 4875 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625, 4875. There are 16 integers that are factors of 4875. The greatest factor of 4875 is 4875.

3. What are the Factors of 4881?

Answer: Factors of 4881 are 1, 3, 1627, 4881. There are 4 integers that are factors of 4881. The greatest factor of 4881 is 4881.

4. How to Find the LCM of 4875 and 4881?

Answer:

Least Common Multiple of 4875 and 4881 = 7931625

Step 1: Find the prime factorization of 4875

4875 = 3 x 5 x 5 x 5 x 13

Step 2: Find the prime factorization of 4881

4881 = 3 x 1627

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

LCM = 7931625 = 3 x 5 x 5 x 5 x 13 x 1627

Step 4: Therefore, the least common multiple of 4875 and 4881 is 7931625.