Least Common Multiple of 9930 and 9935

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 9935 the smallest integer that is 19730910 that is divisible by both numbers.

Least Common Multiple (LCM) of 9930 and 9935 is 19730910.

LCM(9930,9935) = 19730910

LCM of 9930 and 9935

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

LCM of:
and

Least Common Multiple of 9930 and 9935

LCM of 9930 and 9935 is 19730910

Least common multiple can be found by multiplying the highest exponent prime factors of 9930 and 9935. First we will calculate the prime factors of 9930 and 9935.

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 9935


5 9935
1987 1987
1

Prime factors of 9935 are 5,1987. Prime factorization of 9935 in exponential form is:

9935 = 51×19871

Now multiplying the highest exponent prime factors to calculate the LCM of 9930 and 9935.

LCM(9930,9935) = 21×31×51×3311×19871
LCM(9930,9935) = 19730910

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 9935

List of positive integer factors of 9935 that divides 9935 without a remainder.

1, 5, 1987, 9935

Least Common Multiple of 9930 and 9935 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 9935, than apply into the LCM equation.

GCF(9930,9935) = 5
LCM(9930,9935) = ( 9930 × 9935) / 5
LCM(9930,9935) = 98654550 / 5
LCM(9930,9935) = 19730910

Properties of LCM 9930 and 9935

(i) The LCM of 9935 and 9930 is associative

LCM of 9930 and 9935 = LCM of 9935 and 9930

Related Least Common Multiples of 9930

Related Least Common Multiples of 9935

Frequently Asked Questions on LCM of 9930 and 9935

1. What is the LCM of 9930 and 9935?

Answer: LCM of 9930 and 9935 is 19730910.

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 9935?

Answer: Factors of 9935 are 1, 5, 1987, 9935. There are 4 integers that are factors of 9935. The greatest factor of 9935 is 9935.

4. How to Find the LCM of 9930 and 9935?

Answer:

Least Common Multiple of 9930 and 9935 = 19730910

Step 1: Find the prime factorization of 9930

9930 = 2 x 3 x 5 x 331

Step 2: Find the prime factorization of 9935

9935 = 5 x 1987

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

LCM = 19730910 = 2 x 3 x 5 x 331 x 1987

Step 4: Therefore, the least common multiple of 9930 and 9935 is 19730910.