Least Common Multiple of 10240 and 10246

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 10246 the smallest integer that is 52459520 that is divisible by both numbers.

Least Common Multiple (LCM) of 10240 and 10246 is 52459520.

LCM(10240,10246) = 52459520

LCM of 10240 and 10246

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

LCM of:
and

Least Common Multiple of 10240 and 10246

LCM of 10240 and 10246 is 52459520

Least common multiple can be found by multiplying the highest exponent prime factors of 10240 and 10246. First we will calculate the prime factors of 10240 and 10246.

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 10246


2 10246
47 5123
109 109
1

Prime factors of 10246 are 2, 47,109. Prime factorization of 10246 in exponential form is:

10246 = 21×471×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 10240 and 10246.

LCM(10240,10246) = 211×51×471×1091
LCM(10240,10246) = 52459520

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 10246

List of positive integer factors of 10246 that divides 10246 without a remainder.

1, 2, 47, 94, 109, 218, 5123, 10246

Least Common Multiple of 10240 and 10246 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 10246, than apply into the LCM equation.

GCF(10240,10246) = 2
LCM(10240,10246) = ( 10240 × 10246) / 2
LCM(10240,10246) = 104919040 / 2
LCM(10240,10246) = 52459520

Properties of LCM 10240 and 10246

(i) The LCM of 10246 and 10240 is associative

LCM of 10240 and 10246 = LCM of 10246 and 10240

Related Least Common Multiples of 10240

Related Least Common Multiples of 10246

Frequently Asked Questions on LCM of 10240 and 10246

1. What is the LCM of 10240 and 10246?

Answer: LCM of 10240 and 10246 is 52459520.

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 10246?

Answer: Factors of 10246 are 1, 2, 47, 94, 109, 218, 5123, 10246. There are 8 integers that are factors of 10246. The greatest factor of 10246 is 10246.

4. How to Find the LCM of 10240 and 10246?

Answer:

Least Common Multiple of 10240 and 10246 = 52459520

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 10246

10246 = 2 x 47 x 109

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

LCM = 52459520 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 47 x 109

Step 4: Therefore, the least common multiple of 10240 and 10246 is 52459520.