Least Common Multiple of 9868 and 9871

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 9871 the smallest integer that is 97407028 that is divisible by both numbers.

Least Common Multiple (LCM) of 9868 and 9871 is 97407028.

LCM(9868,9871) = 97407028

LCM of 9868 and 9871

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

LCM of:
and

Least Common Multiple of 9868 and 9871

LCM of 9868 and 9871 is 97407028

Least common multiple can be found by multiplying the highest exponent prime factors of 9868 and 9871. First we will calculate the prime factors of 9868 and 9871.

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 9871


9871 9871
1

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

9871 = 98711

Now multiplying the highest exponent prime factors to calculate the LCM of 9868 and 9871.

LCM(9868,9871) = 22×24671×98711
LCM(9868,9871) = 97407028

Factors of 9868

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

1, 2, 4, 2467, 4934, 9868

Factors of 9871

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

1, 9871

Least Common Multiple of 9868 and 9871 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 9871, than apply into the LCM equation.

GCF(9868,9871) = 1
LCM(9868,9871) = ( 9868 × 9871) / 1
LCM(9868,9871) = 97407028 / 1
LCM(9868,9871) = 97407028

Properties of LCM 9868 and 9871

(i) The LCM of 9871 and 9868 is associative

LCM of 9868 and 9871 = LCM of 9871 and 9868

Related Least Common Multiples of 9868

Related Least Common Multiples of 9871

Frequently Asked Questions on LCM of 9868 and 9871

1. What is the LCM of 9868 and 9871?

Answer: LCM of 9868 and 9871 is 97407028.

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 9871?

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

4. How to Find the LCM of 9868 and 9871?

Answer:

Least Common Multiple of 9868 and 9871 = 97407028

Step 1: Find the prime factorization of 9868

9868 = 2 x 2 x 2467

Step 2: Find the prime factorization of 9871

9871 = 9871

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

LCM = 97407028 = 2 x 2 x 2467 x 9871

Step 4: Therefore, the least common multiple of 9868 and 9871 is 97407028.