Least Common Multiple of 10240 and 10247

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 10247 the smallest integer that is 104929280 that is divisible by both numbers.

Least Common Multiple (LCM) of 10240 and 10247 is 104929280.

LCM(10240,10247) = 104929280

LCM of 10240 and 10247

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

LCM of:
and

Least Common Multiple of 10240 and 10247

LCM of 10240 and 10247 is 104929280

Least common multiple can be found by multiplying the highest exponent prime factors of 10240 and 10247. First we will calculate the prime factors of 10240 and 10247.

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 10247


10247 10247
1

Prime factors of 10247 are 10247. Prime factorization of 10247 in exponential form is:

10247 = 102471

Now multiplying the highest exponent prime factors to calculate the LCM of 10240 and 10247.

LCM(10240,10247) = 211×51×102471
LCM(10240,10247) = 104929280

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 10247

List of positive integer factors of 10247 that divides 10247 without a remainder.

1, 10247

Least Common Multiple of 10240 and 10247 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 10247, than apply into the LCM equation.

GCF(10240,10247) = 1
LCM(10240,10247) = ( 10240 × 10247) / 1
LCM(10240,10247) = 104929280 / 1
LCM(10240,10247) = 104929280

Properties of LCM 10240 and 10247

(i) The LCM of 10247 and 10240 is associative

LCM of 10240 and 10247 = LCM of 10247 and 10240

Related Least Common Multiples of 10240

Related Least Common Multiples of 10247

Frequently Asked Questions on LCM of 10240 and 10247

1. What is the LCM of 10240 and 10247?

Answer: LCM of 10240 and 10247 is 104929280.

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 10247?

Answer: Factors of 10247 are 1, 10247. There are 2 integers that are factors of 10247. The greatest factor of 10247 is 10247.

4. How to Find the LCM of 10240 and 10247?

Answer:

Least Common Multiple of 10240 and 10247 = 104929280

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 10247

10247 = 10247

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

LCM = 104929280 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 10247

Step 4: Therefore, the least common multiple of 10240 and 10247 is 104929280.