Least Common Multiple of 10240 and 10244

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 10244 the smallest integer that is 26224640 that is divisible by both numbers.

Least Common Multiple (LCM) of 10240 and 10244 is 26224640.

LCM(10240,10244) = 26224640

LCM of 10240 and 10244

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

LCM of:
and

Least Common Multiple of 10240 and 10244

LCM of 10240 and 10244 is 26224640

Least common multiple can be found by multiplying the highest exponent prime factors of 10240 and 10244. First we will calculate the prime factors of 10240 and 10244.

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 10244


2 10244
2 5122
13 2561
197 197
1

Prime factors of 10244 are 2, 13,197. Prime factorization of 10244 in exponential form is:

10244 = 22×131×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 10240 and 10244.

LCM(10240,10244) = 211×51×131×1971
LCM(10240,10244) = 26224640

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 10244

List of positive integer factors of 10244 that divides 10244 without a remainder.

1, 2, 4, 13, 26, 52, 197, 394, 788, 2561, 5122, 10244

Least Common Multiple of 10240 and 10244 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 10244, than apply into the LCM equation.

GCF(10240,10244) = 4
LCM(10240,10244) = ( 10240 × 10244) / 4
LCM(10240,10244) = 104898560 / 4
LCM(10240,10244) = 26224640

Properties of LCM 10240 and 10244

(i) The LCM of 10244 and 10240 is associative

LCM of 10240 and 10244 = LCM of 10244 and 10240

Related Least Common Multiples of 10240

Related Least Common Multiples of 10244

Frequently Asked Questions on LCM of 10240 and 10244

1. What is the LCM of 10240 and 10244?

Answer: LCM of 10240 and 10244 is 26224640.

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 10244?

Answer: Factors of 10244 are 1, 2, 4, 13, 26, 52, 197, 394, 788, 2561, 5122, 10244. There are 12 integers that are factors of 10244. The greatest factor of 10244 is 10244.

4. How to Find the LCM of 10240 and 10244?

Answer:

Least Common Multiple of 10240 and 10244 = 26224640

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 10244

10244 = 2 x 2 x 13 x 197

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

LCM = 26224640 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13 x 197

Step 4: Therefore, the least common multiple of 10240 and 10244 is 26224640.