Least Common Multiple of 9929 and 9936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9929 and 9936 the smallest integer that is 98654544 that is divisible by both numbers.

Least Common Multiple (LCM) of 9929 and 9936 is 98654544.

LCM(9929,9936) = 98654544

LCM of 9929 and 9936

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

LCM of:
and

Least Common Multiple of 9929 and 9936

LCM of 9929 and 9936 is 98654544

Least common multiple can be found by multiplying the highest exponent prime factors of 9929 and 9936. First we will calculate the prime factors of 9929 and 9936.

Prime Factorization of 9929


9929 9929
1

Prime factors of 9929 are 9929. Prime factorization of 9929 in exponential form is:

9929 = 99291

Prime Factorization of 9936


2 9936
2 4968
2 2484
2 1242
3 621
3 207
3 69
23 23
1

Prime factors of 9936 are 2, 3,23. Prime factorization of 9936 in exponential form is:

9936 = 24×33×231

Now multiplying the highest exponent prime factors to calculate the LCM of 9929 and 9936.

LCM(9929,9936) = 24×33×231×99291
LCM(9929,9936) = 98654544

Factors of 9929

List of positive integer factors of 9929 that divides 9929 without a remainder.

1, 9929

Factors of 9936

List of positive integer factors of 9936 that divides 9936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 92, 108, 138, 144, 184, 207, 216, 276, 368, 414, 432, 552, 621, 828, 1104, 1242, 1656, 2484, 3312, 4968, 9936

Least Common Multiple of 9929 and 9936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9929 and 9936, than apply into the LCM equation.

GCF(9929,9936) = 1
LCM(9929,9936) = ( 9929 × 9936) / 1
LCM(9929,9936) = 98654544 / 1
LCM(9929,9936) = 98654544

Properties of LCM 9929 and 9936

(i) The LCM of 9936 and 9929 is associative

LCM of 9929 and 9936 = LCM of 9936 and 9929

Related Least Common Multiples of 9929

Related Least Common Multiples of 9936

Frequently Asked Questions on LCM of 9929 and 9936

1. What is the LCM of 9929 and 9936?

Answer: LCM of 9929 and 9936 is 98654544.

2. What are the Factors of 9929?

Answer: Factors of 9929 are 1, 9929. There are 2 integers that are factors of 9929. The greatest factor of 9929 is 9929.

3. What are the Factors of 9936?

Answer: Factors of 9936 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 92, 108, 138, 144, 184, 207, 216, 276, 368, 414, 432, 552, 621, 828, 1104, 1242, 1656, 2484, 3312, 4968, 9936. There are 40 integers that are factors of 9936. The greatest factor of 9936 is 9936.

4. How to Find the LCM of 9929 and 9936?

Answer:

Least Common Multiple of 9929 and 9936 = 98654544

Step 1: Find the prime factorization of 9929

9929 = 9929

Step 2: Find the prime factorization of 9936

9936 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 23

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

LCM = 98654544 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 23 x 9929

Step 4: Therefore, the least common multiple of 9929 and 9936 is 98654544.