Least Common Multiple of 9932 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 9932 and 9936 the smallest integer that is 24671088 that is divisible by both numbers.

Least Common Multiple (LCM) of 9932 and 9936 is 24671088.

LCM(9932,9936) = 24671088

LCM of 9932 and 9936

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

LCM of:
and

Least Common Multiple of 9932 and 9936

LCM of 9932 and 9936 is 24671088

Least common multiple can be found by multiplying the highest exponent prime factors of 9932 and 9936. First we will calculate the prime factors of 9932 and 9936.

Prime Factorization of 9932


2 9932
2 4966
13 2483
191 191
1

Prime factors of 9932 are 2, 13,191. Prime factorization of 9932 in exponential form is:

9932 = 22×131×1911

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 9932 and 9936.

LCM(9932,9936) = 24×33×131×231×1911
LCM(9932,9936) = 24671088

Factors of 9932

List of positive integer factors of 9932 that divides 9932 without a remainder.

1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932

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 9932 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 9932 and 9936, than apply into the LCM equation.

GCF(9932,9936) = 4
LCM(9932,9936) = ( 9932 × 9936) / 4
LCM(9932,9936) = 98684352 / 4
LCM(9932,9936) = 24671088

Properties of LCM 9932 and 9936

(i) The LCM of 9936 and 9932 is associative

LCM of 9932 and 9936 = LCM of 9936 and 9932

Related Least Common Multiples of 9932

Related Least Common Multiples of 9936

Frequently Asked Questions on LCM of 9932 and 9936

1. What is the LCM of 9932 and 9936?

Answer: LCM of 9932 and 9936 is 24671088.

2. What are the Factors of 9932?

Answer: Factors of 9932 are 1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932. There are 12 integers that are factors of 9932. The greatest factor of 9932 is 9932.

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 9932 and 9936?

Answer:

Least Common Multiple of 9932 and 9936 = 24671088

Step 1: Find the prime factorization of 9932

9932 = 2 x 2 x 13 x 191

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 = 24671088 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 x 23 x 191

Step 4: Therefore, the least common multiple of 9932 and 9936 is 24671088.