Least Common Multiple of 9871 and 9876

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 9876 the smallest integer that is 97485996 that is divisible by both numbers.

Least Common Multiple (LCM) of 9871 and 9876 is 97485996.

LCM(9871,9876) = 97485996

LCM of 9871 and 9876

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

LCM of:
and

Least Common Multiple of 9871 and 9876

LCM of 9871 and 9876 is 97485996

Least common multiple can be found by multiplying the highest exponent prime factors of 9871 and 9876. First we will calculate the prime factors of 9871 and 9876.

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 9876


2 9876
2 4938
3 2469
823 823
1

Prime factors of 9876 are 2, 3,823. Prime factorization of 9876 in exponential form is:

9876 = 22×31×8231

Now multiplying the highest exponent prime factors to calculate the LCM of 9871 and 9876.

LCM(9871,9876) = 22×31×8231×98711
LCM(9871,9876) = 97485996

Factors of 9871

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

1, 9871

Factors of 9876

List of positive integer factors of 9876 that divides 9876 without a remainder.

1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876

Least Common Multiple of 9871 and 9876 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 9876, than apply into the LCM equation.

GCF(9871,9876) = 1
LCM(9871,9876) = ( 9871 × 9876) / 1
LCM(9871,9876) = 97485996 / 1
LCM(9871,9876) = 97485996

Properties of LCM 9871 and 9876

(i) The LCM of 9876 and 9871 is associative

LCM of 9871 and 9876 = LCM of 9876 and 9871

Related Least Common Multiples of 9871

Related Least Common Multiples of 9876

Frequently Asked Questions on LCM of 9871 and 9876

1. What is the LCM of 9871 and 9876?

Answer: LCM of 9871 and 9876 is 97485996.

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 9876?

Answer: Factors of 9876 are 1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876. There are 12 integers that are factors of 9876. The greatest factor of 9876 is 9876.

4. How to Find the LCM of 9871 and 9876?

Answer:

Least Common Multiple of 9871 and 9876 = 97485996

Step 1: Find the prime factorization of 9871

9871 = 9871

Step 2: Find the prime factorization of 9876

9876 = 2 x 2 x 3 x 823

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

LCM = 97485996 = 2 x 2 x 3 x 823 x 9871

Step 4: Therefore, the least common multiple of 9871 and 9876 is 97485996.