Least Common Multiple of 10240 and 10245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10240 and 10245 the smallest integer that is 20981760 that is divisible by both numbers.

Least Common Multiple (LCM) of 10240 and 10245 is 20981760.

LCM(10240,10245) = 20981760

LCM of 10240 and 10245

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

LCM of:
and

Least Common Multiple of 10240 and 10245

LCM of 10240 and 10245 is 20981760

Least common multiple can be found by multiplying the highest exponent prime factors of 10240 and 10245. First we will calculate the prime factors of 10240 and 10245.

Prime Factorization of 10240


2 10240
2 5120
2 2560
2 1280
2 640
2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 10240 are 2,5. Prime factorization of 10240 in exponential form is:

10240 = 211×51

Prime Factorization of 10245


3 10245
5 3415
683 683
1

Prime factors of 10245 are 3, 5,683. Prime factorization of 10245 in exponential form is:

10245 = 31×51×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 10240 and 10245.

LCM(10240,10245) = 211×31×51×6831
LCM(10240,10245) = 20981760

Factors of 10240

List of positive integer factors of 10240 that divides 10240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2048, 2560, 5120, 10240

Factors of 10245

List of positive integer factors of 10245 that divides 10245 without a remainder.

1, 3, 5, 15, 683, 2049, 3415, 10245

Least Common Multiple of 10240 and 10245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10240 and 10245, than apply into the LCM equation.

GCF(10240,10245) = 5
LCM(10240,10245) = ( 10240 × 10245) / 5
LCM(10240,10245) = 104908800 / 5
LCM(10240,10245) = 20981760

Properties of LCM 10240 and 10245

(i) The LCM of 10245 and 10240 is associative

LCM of 10240 and 10245 = LCM of 10245 and 10240

Related Least Common Multiples of 10240

Related Least Common Multiples of 10245

Frequently Asked Questions on LCM of 10240 and 10245

1. What is the LCM of 10240 and 10245?

Answer: LCM of 10240 and 10245 is 20981760.

2. What are the Factors of 10240?

Answer: Factors of 10240 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2048, 2560, 5120, 10240. There are 24 integers that are factors of 10240. The greatest factor of 10240 is 10240.

3. What are the Factors of 10245?

Answer: Factors of 10245 are 1, 3, 5, 15, 683, 2049, 3415, 10245. There are 8 integers that are factors of 10245. The greatest factor of 10245 is 10245.

4. How to Find the LCM of 10240 and 10245?

Answer:

Least Common Multiple of 10240 and 10245 = 20981760

Step 1: Find the prime factorization of 10240

10240 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 10245

10245 = 3 x 5 x 683

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

LCM = 20981760 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 683

Step 4: Therefore, the least common multiple of 10240 and 10245 is 20981760.