Least Common Multiple of 10235 and 10240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10235 and 10240 the smallest integer that is 20961280 that is divisible by both numbers.

Least Common Multiple (LCM) of 10235 and 10240 is 20961280.

LCM(10235,10240) = 20961280

LCM of 10235 and 10240

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

LCM of:
and

Least Common Multiple of 10235 and 10240

LCM of 10235 and 10240 is 20961280

Least common multiple can be found by multiplying the highest exponent prime factors of 10235 and 10240. First we will calculate the prime factors of 10235 and 10240.

Prime Factorization of 10235


5 10235
23 2047
89 89
1

Prime factors of 10235 are 5, 23,89. Prime factorization of 10235 in exponential form is:

10235 = 51×231×891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10235 and 10240.

LCM(10235,10240) = 211×51×231×891
LCM(10235,10240) = 20961280

Factors of 10235

List of positive integer factors of 10235 that divides 10235 without a remainder.

1, 5, 23, 89, 115, 445, 2047, 10235

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

Least Common Multiple of 10235 and 10240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10235 and 10240, than apply into the LCM equation.

GCF(10235,10240) = 5
LCM(10235,10240) = ( 10235 × 10240) / 5
LCM(10235,10240) = 104806400 / 5
LCM(10235,10240) = 20961280

Properties of LCM 10235 and 10240

(i) The LCM of 10240 and 10235 is associative

LCM of 10235 and 10240 = LCM of 10240 and 10235

Related Least Common Multiples of 10235

Related Least Common Multiples of 10240

Frequently Asked Questions on LCM of 10235 and 10240

1. What is the LCM of 10235 and 10240?

Answer: LCM of 10235 and 10240 is 20961280.

2. What are the Factors of 10235?

Answer: Factors of 10235 are 1, 5, 23, 89, 115, 445, 2047, 10235. There are 8 integers that are factors of 10235. The greatest factor of 10235 is 10235.

3. 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.

4. How to Find the LCM of 10235 and 10240?

Answer:

Least Common Multiple of 10235 and 10240 = 20961280

Step 1: Find the prime factorization of 10235

10235 = 5 x 23 x 89

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 20961280 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 23 x 89

Step 4: Therefore, the least common multiple of 10235 and 10240 is 20961280.