Least Common Multiple of 9868 and 9872

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 9872 the smallest integer that is 24354224 that is divisible by both numbers.

Least Common Multiple (LCM) of 9868 and 9872 is 24354224.

LCM(9868,9872) = 24354224

LCM of 9868 and 9872

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

LCM of:
and

Least Common Multiple of 9868 and 9872

LCM of 9868 and 9872 is 24354224

Least common multiple can be found by multiplying the highest exponent prime factors of 9868 and 9872. First we will calculate the prime factors of 9868 and 9872.

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 9872


2 9872
2 4936
2 2468
2 1234
617 617
1

Prime factors of 9872 are 2,617. Prime factorization of 9872 in exponential form is:

9872 = 24×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 9868 and 9872.

LCM(9868,9872) = 24×6171×24671
LCM(9868,9872) = 24354224

Factors of 9868

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

1, 2, 4, 2467, 4934, 9868

Factors of 9872

List of positive integer factors of 9872 that divides 9872 without a remainder.

1, 2, 4, 8, 16, 617, 1234, 2468, 4936, 9872

Least Common Multiple of 9868 and 9872 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 9872, than apply into the LCM equation.

GCF(9868,9872) = 4
LCM(9868,9872) = ( 9868 × 9872) / 4
LCM(9868,9872) = 97416896 / 4
LCM(9868,9872) = 24354224

Properties of LCM 9868 and 9872

(i) The LCM of 9872 and 9868 is associative

LCM of 9868 and 9872 = LCM of 9872 and 9868

Related Least Common Multiples of 9868

Related Least Common Multiples of 9872

Frequently Asked Questions on LCM of 9868 and 9872

1. What is the LCM of 9868 and 9872?

Answer: LCM of 9868 and 9872 is 24354224.

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 9872?

Answer: Factors of 9872 are 1, 2, 4, 8, 16, 617, 1234, 2468, 4936, 9872. There are 10 integers that are factors of 9872. The greatest factor of 9872 is 9872.

4. How to Find the LCM of 9868 and 9872?

Answer:

Least Common Multiple of 9868 and 9872 = 24354224

Step 1: Find the prime factorization of 9868

9868 = 2 x 2 x 2467

Step 2: Find the prime factorization of 9872

9872 = 2 x 2 x 2 x 2 x 617

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

LCM = 24354224 = 2 x 2 x 2 x 2 x 617 x 2467

Step 4: Therefore, the least common multiple of 9868 and 9872 is 24354224.