Least Common Multiple of 9868 and 9875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9868 and 9875 the smallest integer that is 97446500 that is divisible by both numbers.

Least Common Multiple (LCM) of 9868 and 9875 is 97446500.

LCM(9868,9875) = 97446500

LCM of 9868 and 9875

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

LCM of:
and

Least Common Multiple of 9868 and 9875

LCM of 9868 and 9875 is 97446500

Least common multiple can be found by multiplying the highest exponent prime factors of 9868 and 9875. First we will calculate the prime factors of 9868 and 9875.

Prime Factorization of 9868


2 9868
2 4934
2467 2467
1

Prime factors of 9868 are 2,2467. Prime factorization of 9868 in exponential form is:

9868 = 22×24671

Prime Factorization of 9875


5 9875
5 1975
5 395
79 79
1

Prime factors of 9875 are 5,79. Prime factorization of 9875 in exponential form is:

9875 = 53×791

Now multiplying the highest exponent prime factors to calculate the LCM of 9868 and 9875.

LCM(9868,9875) = 22×53×791×24671
LCM(9868,9875) = 97446500

Factors of 9868

List of positive integer factors of 9868 that divides 9868 without a remainder.

1, 2, 4, 2467, 4934, 9868

Factors of 9875

List of positive integer factors of 9875 that divides 9875 without a remainder.

1, 5, 25, 79, 125, 395, 1975, 9875

Least Common Multiple of 9868 and 9875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9868 and 9875, than apply into the LCM equation.

GCF(9868,9875) = 1
LCM(9868,9875) = ( 9868 × 9875) / 1
LCM(9868,9875) = 97446500 / 1
LCM(9868,9875) = 97446500

Properties of LCM 9868 and 9875

(i) The LCM of 9875 and 9868 is associative

LCM of 9868 and 9875 = LCM of 9875 and 9868

Related Least Common Multiples of 9868

Related Least Common Multiples of 9875

Frequently Asked Questions on LCM of 9868 and 9875

1. What is the LCM of 9868 and 9875?

Answer: LCM of 9868 and 9875 is 97446500.

2. What are the Factors of 9868?

Answer: Factors of 9868 are 1, 2, 4, 2467, 4934, 9868. There are 6 integers that are factors of 9868. The greatest factor of 9868 is 9868.

3. What are the Factors of 9875?

Answer: Factors of 9875 are 1, 5, 25, 79, 125, 395, 1975, 9875. There are 8 integers that are factors of 9875. The greatest factor of 9875 is 9875.

4. How to Find the LCM of 9868 and 9875?

Answer:

Least Common Multiple of 9868 and 9875 = 97446500

Step 1: Find the prime factorization of 9868

9868 = 2 x 2 x 2467

Step 2: Find the prime factorization of 9875

9875 = 5 x 5 x 5 x 79

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

LCM = 97446500 = 2 x 2 x 5 x 5 x 5 x 79 x 2467

Step 4: Therefore, the least common multiple of 9868 and 9875 is 97446500.