Least Common Multiple of 9863 and 9868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9863 and 9868 the smallest integer that is 97328084 that is divisible by both numbers.

Least Common Multiple (LCM) of 9863 and 9868 is 97328084.

LCM(9863,9868) = 97328084

LCM of 9863 and 9868

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

LCM of:
and

Least Common Multiple of 9863 and 9868

LCM of 9863 and 9868 is 97328084

Least common multiple can be found by multiplying the highest exponent prime factors of 9863 and 9868. First we will calculate the prime factors of 9863 and 9868.

Prime Factorization of 9863


7 9863
1409 1409
1

Prime factors of 9863 are 7,1409. Prime factorization of 9863 in exponential form is:

9863 = 71×14091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9863 and 9868.

LCM(9863,9868) = 22×71×14091×24671
LCM(9863,9868) = 97328084

Factors of 9863

List of positive integer factors of 9863 that divides 9863 without a remainder.

1, 7, 1409, 9863

Factors of 9868

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

1, 2, 4, 2467, 4934, 9868

Least Common Multiple of 9863 and 9868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9863 and 9868, than apply into the LCM equation.

GCF(9863,9868) = 1
LCM(9863,9868) = ( 9863 × 9868) / 1
LCM(9863,9868) = 97328084 / 1
LCM(9863,9868) = 97328084

Properties of LCM 9863 and 9868

(i) The LCM of 9868 and 9863 is associative

LCM of 9863 and 9868 = LCM of 9868 and 9863

Related Least Common Multiples of 9863

Related Least Common Multiples of 9868

Frequently Asked Questions on LCM of 9863 and 9868

1. What is the LCM of 9863 and 9868?

Answer: LCM of 9863 and 9868 is 97328084.

2. What are the Factors of 9863?

Answer: Factors of 9863 are 1, 7, 1409, 9863. There are 4 integers that are factors of 9863. The greatest factor of 9863 is 9863.

3. 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.

4. How to Find the LCM of 9863 and 9868?

Answer:

Least Common Multiple of 9863 and 9868 = 97328084

Step 1: Find the prime factorization of 9863

9863 = 7 x 1409

Step 2: Find the prime factorization of 9868

9868 = 2 x 2 x 2467

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

LCM = 97328084 = 2 x 2 x 7 x 1409 x 2467

Step 4: Therefore, the least common multiple of 9863 and 9868 is 97328084.