Least Common Multiple of 9932 and 9937

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 9937 the smallest integer that is 98694284 that is divisible by both numbers.

Least Common Multiple (LCM) of 9932 and 9937 is 98694284.

LCM(9932,9937) = 98694284

LCM of 9932 and 9937

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

LCM of:
and

Least Common Multiple of 9932 and 9937

LCM of 9932 and 9937 is 98694284

Least common multiple can be found by multiplying the highest exponent prime factors of 9932 and 9937. First we will calculate the prime factors of 9932 and 9937.

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 9937


19 9937
523 523
1

Prime factors of 9937 are 19,523. Prime factorization of 9937 in exponential form is:

9937 = 191×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 9932 and 9937.

LCM(9932,9937) = 22×131×191×1911×5231
LCM(9932,9937) = 98694284

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 9937

List of positive integer factors of 9937 that divides 9937 without a remainder.

1, 19, 523, 9937

Least Common Multiple of 9932 and 9937 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 9937, than apply into the LCM equation.

GCF(9932,9937) = 1
LCM(9932,9937) = ( 9932 × 9937) / 1
LCM(9932,9937) = 98694284 / 1
LCM(9932,9937) = 98694284

Properties of LCM 9932 and 9937

(i) The LCM of 9937 and 9932 is associative

LCM of 9932 and 9937 = LCM of 9937 and 9932

Related Least Common Multiples of 9932

Related Least Common Multiples of 9937

Frequently Asked Questions on LCM of 9932 and 9937

1. What is the LCM of 9932 and 9937?

Answer: LCM of 9932 and 9937 is 98694284.

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 9937?

Answer: Factors of 9937 are 1, 19, 523, 9937. There are 4 integers that are factors of 9937. The greatest factor of 9937 is 9937.

4. How to Find the LCM of 9932 and 9937?

Answer:

Least Common Multiple of 9932 and 9937 = 98694284

Step 1: Find the prime factorization of 9932

9932 = 2 x 2 x 13 x 191

Step 2: Find the prime factorization of 9937

9937 = 19 x 523

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

LCM = 98694284 = 2 x 2 x 13 x 19 x 191 x 523

Step 4: Therefore, the least common multiple of 9932 and 9937 is 98694284.