Least Common Multiple of 9868 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 9868 and 9876 the smallest integer that is 24364092 that is divisible by both numbers.

Least Common Multiple (LCM) of 9868 and 9876 is 24364092.

LCM(9868,9876) = 24364092

LCM of 9868 and 9876

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

LCM of:
and

Least Common Multiple of 9868 and 9876

LCM of 9868 and 9876 is 24364092

Least common multiple can be found by multiplying the highest exponent prime factors of 9868 and 9876. First we will calculate the prime factors of 9868 and 9876.

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 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 9868 and 9876.

LCM(9868,9876) = 22×31×8231×24671
LCM(9868,9876) = 24364092

Factors of 9868

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

1, 2, 4, 2467, 4934, 9868

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 9868 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 9868 and 9876, than apply into the LCM equation.

GCF(9868,9876) = 4
LCM(9868,9876) = ( 9868 × 9876) / 4
LCM(9868,9876) = 97456368 / 4
LCM(9868,9876) = 24364092

Properties of LCM 9868 and 9876

(i) The LCM of 9876 and 9868 is associative

LCM of 9868 and 9876 = LCM of 9876 and 9868

Related Least Common Multiples of 9868

Related Least Common Multiples of 9876

Frequently Asked Questions on LCM of 9868 and 9876

1. What is the LCM of 9868 and 9876?

Answer: LCM of 9868 and 9876 is 24364092.

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 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 9868 and 9876?

Answer:

Least Common Multiple of 9868 and 9876 = 24364092

Step 1: Find the prime factorization of 9868

9868 = 2 x 2 x 2467

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 = 24364092 = 2 x 2 x 3 x 823 x 2467

Step 4: Therefore, the least common multiple of 9868 and 9876 is 24364092.