Least Common Multiple of 9930 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 9930 and 9937 the smallest integer that is 98674410 that is divisible by both numbers.

Least Common Multiple (LCM) of 9930 and 9937 is 98674410.

LCM(9930,9937) = 98674410

LCM of 9930 and 9937

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

LCM of:
and

Least Common Multiple of 9930 and 9937

LCM of 9930 and 9937 is 98674410

Least common multiple can be found by multiplying the highest exponent prime factors of 9930 and 9937. First we will calculate the prime factors of 9930 and 9937.

Prime Factorization of 9930


2 9930
3 4965
5 1655
331 331
1

Prime factors of 9930 are 2, 3, 5,331. Prime factorization of 9930 in exponential form is:

9930 = 21×31×51×3311

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 9930 and 9937.

LCM(9930,9937) = 21×31×51×191×3311×5231
LCM(9930,9937) = 98674410

Factors of 9930

List of positive integer factors of 9930 that divides 9930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 331, 662, 993, 1655, 1986, 3310, 4965, 9930

Factors of 9937

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

1, 19, 523, 9937

Least Common Multiple of 9930 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 9930 and 9937, than apply into the LCM equation.

GCF(9930,9937) = 1
LCM(9930,9937) = ( 9930 × 9937) / 1
LCM(9930,9937) = 98674410 / 1
LCM(9930,9937) = 98674410

Properties of LCM 9930 and 9937

(i) The LCM of 9937 and 9930 is associative

LCM of 9930 and 9937 = LCM of 9937 and 9930

Related Least Common Multiples of 9930

Related Least Common Multiples of 9937

Frequently Asked Questions on LCM of 9930 and 9937

1. What is the LCM of 9930 and 9937?

Answer: LCM of 9930 and 9937 is 98674410.

2. What are the Factors of 9930?

Answer: Factors of 9930 are 1, 2, 3, 5, 6, 10, 15, 30, 331, 662, 993, 1655, 1986, 3310, 4965, 9930. There are 16 integers that are factors of 9930. The greatest factor of 9930 is 9930.

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 9930 and 9937?

Answer:

Least Common Multiple of 9930 and 9937 = 98674410

Step 1: Find the prime factorization of 9930

9930 = 2 x 3 x 5 x 331

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 = 98674410 = 2 x 3 x 5 x 19 x 331 x 523

Step 4: Therefore, the least common multiple of 9930 and 9937 is 98674410.