Least Common Multiple of 9871 and 9877

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 9877 the smallest integer that is 97495867 that is divisible by both numbers.

Least Common Multiple (LCM) of 9871 and 9877 is 97495867.

LCM(9871,9877) = 97495867

LCM of 9871 and 9877

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

LCM of:
and

Least Common Multiple of 9871 and 9877

LCM of 9871 and 9877 is 97495867

Least common multiple can be found by multiplying the highest exponent prime factors of 9871 and 9877. First we will calculate the prime factors of 9871 and 9877.

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 9877


7 9877
17 1411
83 83
1

Prime factors of 9877 are 7, 17,83. Prime factorization of 9877 in exponential form is:

9877 = 71×171×831

Now multiplying the highest exponent prime factors to calculate the LCM of 9871 and 9877.

LCM(9871,9877) = 71×171×831×98711
LCM(9871,9877) = 97495867

Factors of 9871

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

1, 9871

Factors of 9877

List of positive integer factors of 9877 that divides 9877 without a remainder.

1, 7, 17, 83, 119, 581, 1411, 9877

Least Common Multiple of 9871 and 9877 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 9877, than apply into the LCM equation.

GCF(9871,9877) = 1
LCM(9871,9877) = ( 9871 × 9877) / 1
LCM(9871,9877) = 97495867 / 1
LCM(9871,9877) = 97495867

Properties of LCM 9871 and 9877

(i) The LCM of 9877 and 9871 is associative

LCM of 9871 and 9877 = LCM of 9877 and 9871

Related Least Common Multiples of 9871

Related Least Common Multiples of 9877

Frequently Asked Questions on LCM of 9871 and 9877

1. What is the LCM of 9871 and 9877?

Answer: LCM of 9871 and 9877 is 97495867.

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 9877?

Answer: Factors of 9877 are 1, 7, 17, 83, 119, 581, 1411, 9877. There are 8 integers that are factors of 9877. The greatest factor of 9877 is 9877.

4. How to Find the LCM of 9871 and 9877?

Answer:

Least Common Multiple of 9871 and 9877 = 97495867

Step 1: Find the prime factorization of 9871

9871 = 9871

Step 2: Find the prime factorization of 9877

9877 = 7 x 17 x 83

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

LCM = 97495867 = 7 x 17 x 83 x 9871

Step 4: Therefore, the least common multiple of 9871 and 9877 is 97495867.