Least Common Multiple of 4868 and 4875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4868 and 4875 the smallest integer that is 23731500 that is divisible by both numbers.

Least Common Multiple (LCM) of 4868 and 4875 is 23731500.

LCM(4868,4875) = 23731500

LCM of 4868 and 4875

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

LCM of:
and

Least Common Multiple of 4868 and 4875

LCM of 4868 and 4875 is 23731500

Least common multiple can be found by multiplying the highest exponent prime factors of 4868 and 4875. First we will calculate the prime factors of 4868 and 4875.

Prime Factorization of 4868


2 4868
2 2434
1217 1217
1

Prime factors of 4868 are 2,1217. Prime factorization of 4868 in exponential form is:

4868 = 22×12171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4868 and 4875.

LCM(4868,4875) = 22×31×53×131×12171
LCM(4868,4875) = 23731500

Factors of 4868

List of positive integer factors of 4868 that divides 4868 without a remainder.

1, 2, 4, 1217, 2434, 4868

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

Least Common Multiple of 4868 and 4875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4868 and 4875, than apply into the LCM equation.

GCF(4868,4875) = 1
LCM(4868,4875) = ( 4868 × 4875) / 1
LCM(4868,4875) = 23731500 / 1
LCM(4868,4875) = 23731500

Properties of LCM 4868 and 4875

(i) The LCM of 4875 and 4868 is associative

LCM of 4868 and 4875 = LCM of 4875 and 4868

Related Least Common Multiples of 4868

Related Least Common Multiples of 4875

Frequently Asked Questions on LCM of 4868 and 4875

1. What is the LCM of 4868 and 4875?

Answer: LCM of 4868 and 4875 is 23731500.

2. What are the Factors of 4868?

Answer: Factors of 4868 are 1, 2, 4, 1217, 2434, 4868. There are 6 integers that are factors of 4868. The greatest factor of 4868 is 4868.

3. 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.

4. How to Find the LCM of 4868 and 4875?

Answer:

Least Common Multiple of 4868 and 4875 = 23731500

Step 1: Find the prime factorization of 4868

4868 = 2 x 2 x 1217

Step 2: Find the prime factorization of 4875

4875 = 3 x 5 x 5 x 5 x 13

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

LCM = 23731500 = 2 x 2 x 3 x 5 x 5 x 5 x 13 x 1217

Step 4: Therefore, the least common multiple of 4868 and 4875 is 23731500.