Least Common Multiple of 9864 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 9864 and 9868 the smallest integer that is 24334488 that is divisible by both numbers.

Least Common Multiple (LCM) of 9864 and 9868 is 24334488.

LCM(9864,9868) = 24334488

LCM of 9864 and 9868

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

LCM of:
and

Least Common Multiple of 9864 and 9868

LCM of 9864 and 9868 is 24334488

Least common multiple can be found by multiplying the highest exponent prime factors of 9864 and 9868. First we will calculate the prime factors of 9864 and 9868.

Prime Factorization of 9864


2 9864
2 4932
2 2466
3 1233
3 411
137 137
1

Prime factors of 9864 are 2, 3,137. Prime factorization of 9864 in exponential form is:

9864 = 23×32×1371

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 9864 and 9868.

LCM(9864,9868) = 23×32×1371×24671
LCM(9864,9868) = 24334488

Factors of 9864

List of positive integer factors of 9864 that divides 9864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932, 9864

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 9864 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 9864 and 9868, than apply into the LCM equation.

GCF(9864,9868) = 4
LCM(9864,9868) = ( 9864 × 9868) / 4
LCM(9864,9868) = 97337952 / 4
LCM(9864,9868) = 24334488

Properties of LCM 9864 and 9868

(i) The LCM of 9868 and 9864 is associative

LCM of 9864 and 9868 = LCM of 9868 and 9864

Related Least Common Multiples of 9864

Related Least Common Multiples of 9868

Frequently Asked Questions on LCM of 9864 and 9868

1. What is the LCM of 9864 and 9868?

Answer: LCM of 9864 and 9868 is 24334488.

2. What are the Factors of 9864?

Answer: Factors of 9864 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932, 9864. There are 24 integers that are factors of 9864. The greatest factor of 9864 is 9864.

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 9864 and 9868?

Answer:

Least Common Multiple of 9864 and 9868 = 24334488

Step 1: Find the prime factorization of 9864

9864 = 2 x 2 x 2 x 3 x 3 x 137

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 = 24334488 = 2 x 2 x 2 x 3 x 3 x 137 x 2467

Step 4: Therefore, the least common multiple of 9864 and 9868 is 24334488.