Least Common Multiple of 9871 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 9871 and 9875 the smallest integer that is 97476125 that is divisible by both numbers.

Least Common Multiple (LCM) of 9871 and 9875 is 97476125.

LCM(9871,9875) = 97476125

LCM of 9871 and 9875

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

LCM of:
and

Least Common Multiple of 9871 and 9875

LCM of 9871 and 9875 is 97476125

Least common multiple can be found by multiplying the highest exponent prime factors of 9871 and 9875. First we will calculate the prime factors of 9871 and 9875.

Prime Factorization of 9871


9871 9871
1

Prime factors of 9871 are 9871. Prime factorization of 9871 in exponential form is:

9871 = 98711

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 9871 and 9875.

LCM(9871,9875) = 53×791×98711
LCM(9871,9875) = 97476125

Factors of 9871

List of positive integer factors of 9871 that divides 9871 without a remainder.

1, 9871

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 9871 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 9871 and 9875, than apply into the LCM equation.

GCF(9871,9875) = 1
LCM(9871,9875) = ( 9871 × 9875) / 1
LCM(9871,9875) = 97476125 / 1
LCM(9871,9875) = 97476125

Properties of LCM 9871 and 9875

(i) The LCM of 9875 and 9871 is associative

LCM of 9871 and 9875 = LCM of 9875 and 9871

Related Least Common Multiples of 9871

Related Least Common Multiples of 9875

Frequently Asked Questions on LCM of 9871 and 9875

1. What is the LCM of 9871 and 9875?

Answer: LCM of 9871 and 9875 is 97476125.

2. What are the Factors of 9871?

Answer: Factors of 9871 are 1, 9871. There are 2 integers that are factors of 9871. The greatest factor of 9871 is 9871.

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 9871 and 9875?

Answer:

Least Common Multiple of 9871 and 9875 = 97476125

Step 1: Find the prime factorization of 9871

9871 = 9871

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 = 97476125 = 5 x 5 x 5 x 79 x 9871

Step 4: Therefore, the least common multiple of 9871 and 9875 is 97476125.