Least Common Multiple of 10240 and 10248

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 10248 the smallest integer that is 13117440 that is divisible by both numbers.

Least Common Multiple (LCM) of 10240 and 10248 is 13117440.

LCM(10240,10248) = 13117440

LCM of 10240 and 10248

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

LCM of:
and

Least Common Multiple of 10240 and 10248

LCM of 10240 and 10248 is 13117440

Least common multiple can be found by multiplying the highest exponent prime factors of 10240 and 10248. First we will calculate the prime factors of 10240 and 10248.

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 10248


2 10248
2 5124
2 2562
3 1281
7 427
61 61
1

Prime factors of 10248 are 2, 3, 7,61. Prime factorization of 10248 in exponential form is:

10248 = 23×31×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 10240 and 10248.

LCM(10240,10248) = 211×31×51×71×611
LCM(10240,10248) = 13117440

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 10248

List of positive integer factors of 10248 that divides 10248 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 61, 84, 122, 168, 183, 244, 366, 427, 488, 732, 854, 1281, 1464, 1708, 2562, 3416, 5124, 10248

Least Common Multiple of 10240 and 10248 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 10248, than apply into the LCM equation.

GCF(10240,10248) = 8
LCM(10240,10248) = ( 10240 × 10248) / 8
LCM(10240,10248) = 104939520 / 8
LCM(10240,10248) = 13117440

Properties of LCM 10240 and 10248

(i) The LCM of 10248 and 10240 is associative

LCM of 10240 and 10248 = LCM of 10248 and 10240

Related Least Common Multiples of 10240

Related Least Common Multiples of 10248

Frequently Asked Questions on LCM of 10240 and 10248

1. What is the LCM of 10240 and 10248?

Answer: LCM of 10240 and 10248 is 13117440.

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 10248?

Answer: Factors of 10248 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 61, 84, 122, 168, 183, 244, 366, 427, 488, 732, 854, 1281, 1464, 1708, 2562, 3416, 5124, 10248. There are 32 integers that are factors of 10248. The greatest factor of 10248 is 10248.

4. How to Find the LCM of 10240 and 10248?

Answer:

Least Common Multiple of 10240 and 10248 = 13117440

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 10248

10248 = 2 x 2 x 2 x 3 x 7 x 61

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

LCM = 13117440 = 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 7 x 61

Step 4: Therefore, the least common multiple of 10240 and 10248 is 13117440.