Least Common Multiple of 9935 and 9940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9935 and 9940 the smallest integer that is 19750780 that is divisible by both numbers.

Least Common Multiple (LCM) of 9935 and 9940 is 19750780.

LCM(9935,9940) = 19750780

LCM of 9935 and 9940

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

LCM of:
and

Least Common Multiple of 9935 and 9940

LCM of 9935 and 9940 is 19750780

Least common multiple can be found by multiplying the highest exponent prime factors of 9935 and 9940. First we will calculate the prime factors of 9935 and 9940.

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

Prime Factorization of 9940


2 9940
2 4970
5 2485
7 497
71 71
1

Prime factors of 9940 are 2, 5, 7,71. Prime factorization of 9940 in exponential form is:

9940 = 22×51×71×711

Now multiplying the highest exponent prime factors to calculate the LCM of 9935 and 9940.

LCM(9935,9940) = 22×51×71×711×19871
LCM(9935,9940) = 19750780

Factors of 9935

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

1, 5, 1987, 9935

Factors of 9940

List of positive integer factors of 9940 that divides 9940 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940

Least Common Multiple of 9935 and 9940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9935 and 9940, than apply into the LCM equation.

GCF(9935,9940) = 5
LCM(9935,9940) = ( 9935 × 9940) / 5
LCM(9935,9940) = 98753900 / 5
LCM(9935,9940) = 19750780

Properties of LCM 9935 and 9940

(i) The LCM of 9940 and 9935 is associative

LCM of 9935 and 9940 = LCM of 9940 and 9935

Related Least Common Multiples of 9935

Related Least Common Multiples of 9940

Frequently Asked Questions on LCM of 9935 and 9940

1. What is the LCM of 9935 and 9940?

Answer: LCM of 9935 and 9940 is 19750780.

2. 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.

3. What are the Factors of 9940?

Answer: Factors of 9940 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940. There are 24 integers that are factors of 9940. The greatest factor of 9940 is 9940.

4. How to Find the LCM of 9935 and 9940?

Answer:

Least Common Multiple of 9935 and 9940 = 19750780

Step 1: Find the prime factorization of 9935

9935 = 5 x 1987

Step 2: Find the prime factorization of 9940

9940 = 2 x 2 x 5 x 7 x 71

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

LCM = 19750780 = 2 x 2 x 5 x 7 x 71 x 1987

Step 4: Therefore, the least common multiple of 9935 and 9940 is 19750780.