Least Common Multiple of 9940 and 9945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9940 and 9945 the smallest integer that is 19770660 that is divisible by both numbers.

Least Common Multiple (LCM) of 9940 and 9945 is 19770660.

LCM(9940,9945) = 19770660

LCM of 9940 and 9945

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

LCM of:
and

Least Common Multiple of 9940 and 9945

LCM of 9940 and 9945 is 19770660

Least common multiple can be found by multiplying the highest exponent prime factors of 9940 and 9945. First we will calculate the prime factors of 9940 and 9945.

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

Prime Factorization of 9945


3 9945
3 3315
5 1105
13 221
17 17
1

Prime factors of 9945 are 3, 5, 13,17. Prime factorization of 9945 in exponential form is:

9945 = 32×51×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 9940 and 9945.

LCM(9940,9945) = 22×32×51×71×131×171×711
LCM(9940,9945) = 19770660

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

Factors of 9945

List of positive integer factors of 9945 that divides 9945 without a remainder.

1, 3, 5, 9, 13, 15, 17, 39, 45, 51, 65, 85, 117, 153, 195, 221, 255, 585, 663, 765, 1105, 1989, 3315, 9945

Least Common Multiple of 9940 and 9945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9940 and 9945, than apply into the LCM equation.

GCF(9940,9945) = 5
LCM(9940,9945) = ( 9940 × 9945) / 5
LCM(9940,9945) = 98853300 / 5
LCM(9940,9945) = 19770660

Properties of LCM 9940 and 9945

(i) The LCM of 9945 and 9940 is associative

LCM of 9940 and 9945 = LCM of 9945 and 9940

Related Least Common Multiples of 9940

Related Least Common Multiples of 9945

Frequently Asked Questions on LCM of 9940 and 9945

1. What is the LCM of 9940 and 9945?

Answer: LCM of 9940 and 9945 is 19770660.

2. 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.

3. What are the Factors of 9945?

Answer: Factors of 9945 are 1, 3, 5, 9, 13, 15, 17, 39, 45, 51, 65, 85, 117, 153, 195, 221, 255, 585, 663, 765, 1105, 1989, 3315, 9945. There are 24 integers that are factors of 9945. The greatest factor of 9945 is 9945.

4. How to Find the LCM of 9940 and 9945?

Answer:

Least Common Multiple of 9940 and 9945 = 19770660

Step 1: Find the prime factorization of 9940

9940 = 2 x 2 x 5 x 7 x 71

Step 2: Find the prime factorization of 9945

9945 = 3 x 3 x 5 x 13 x 17

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

LCM = 19770660 = 2 x 2 x 3 x 3 x 5 x 7 x 13 x 17 x 71

Step 4: Therefore, the least common multiple of 9940 and 9945 is 19770660.