Least Common Multiple of 9875 and 9879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9875 and 9879 the smallest integer that is 97555125 that is divisible by both numbers.

Least Common Multiple (LCM) of 9875 and 9879 is 97555125.

LCM(9875,9879) = 97555125

LCM of 9875 and 9879

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

LCM of:
and

Least Common Multiple of 9875 and 9879

LCM of 9875 and 9879 is 97555125

Least common multiple can be found by multiplying the highest exponent prime factors of 9875 and 9879. First we will calculate the prime factors of 9875 and 9879.

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

Prime Factorization of 9879


3 9879
37 3293
89 89
1

Prime factors of 9879 are 3, 37,89. Prime factorization of 9879 in exponential form is:

9879 = 31×371×891

Now multiplying the highest exponent prime factors to calculate the LCM of 9875 and 9879.

LCM(9875,9879) = 31×53×371×791×891
LCM(9875,9879) = 97555125

Factors of 9875

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

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

Factors of 9879

List of positive integer factors of 9879 that divides 9879 without a remainder.

1, 3, 37, 89, 111, 267, 3293, 9879

Least Common Multiple of 9875 and 9879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9875 and 9879, than apply into the LCM equation.

GCF(9875,9879) = 1
LCM(9875,9879) = ( 9875 × 9879) / 1
LCM(9875,9879) = 97555125 / 1
LCM(9875,9879) = 97555125

Properties of LCM 9875 and 9879

(i) The LCM of 9879 and 9875 is associative

LCM of 9875 and 9879 = LCM of 9879 and 9875

Related Least Common Multiples of 9875

Related Least Common Multiples of 9879

Frequently Asked Questions on LCM of 9875 and 9879

1. What is the LCM of 9875 and 9879?

Answer: LCM of 9875 and 9879 is 97555125.

2. 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.

3. What are the Factors of 9879?

Answer: Factors of 9879 are 1, 3, 37, 89, 111, 267, 3293, 9879. There are 8 integers that are factors of 9879. The greatest factor of 9879 is 9879.

4. How to Find the LCM of 9875 and 9879?

Answer:

Least Common Multiple of 9875 and 9879 = 97555125

Step 1: Find the prime factorization of 9875

9875 = 5 x 5 x 5 x 79

Step 2: Find the prime factorization of 9879

9879 = 3 x 37 x 89

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

LCM = 97555125 = 3 x 5 x 5 x 5 x 37 x 79 x 89

Step 4: Therefore, the least common multiple of 9875 and 9879 is 97555125.