Least Common Multiple of 9864 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 9864 and 9872 the smallest integer that is 12172176 that is divisible by both numbers.

Least Common Multiple (LCM) of 9864 and 9872 is 12172176.

LCM(9864,9872) = 12172176

LCM of 9864 and 9872

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

LCM of:
and

Least Common Multiple of 9864 and 9872

LCM of 9864 and 9872 is 12172176

Least common multiple can be found by multiplying the highest exponent prime factors of 9864 and 9872. First we will calculate the prime factors of 9864 and 9872.

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 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 9864 and 9872.

LCM(9864,9872) = 24×32×1371×6171
LCM(9864,9872) = 12172176

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 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 9864 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 9864 and 9872, than apply into the LCM equation.

GCF(9864,9872) = 8
LCM(9864,9872) = ( 9864 × 9872) / 8
LCM(9864,9872) = 97377408 / 8
LCM(9864,9872) = 12172176

Properties of LCM 9864 and 9872

(i) The LCM of 9872 and 9864 is associative

LCM of 9864 and 9872 = LCM of 9872 and 9864

Related Least Common Multiples of 9864

Related Least Common Multiples of 9872

Frequently Asked Questions on LCM of 9864 and 9872

1. What is the LCM of 9864 and 9872?

Answer: LCM of 9864 and 9872 is 12172176.

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 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 9864 and 9872?

Answer:

Least Common Multiple of 9864 and 9872 = 12172176

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 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 = 12172176 = 2 x 2 x 2 x 2 x 3 x 3 x 137 x 617

Step 4: Therefore, the least common multiple of 9864 and 9872 is 12172176.