Least Common Multiple of 8635 and 8640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8635 and 8640 the smallest integer that is 14921280 that is divisible by both numbers.

Least Common Multiple (LCM) of 8635 and 8640 is 14921280.

LCM(8635,8640) = 14921280

LCM of 8635 and 8640

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

LCM of:
and

Least Common Multiple of 8635 and 8640

LCM of 8635 and 8640 is 14921280

Least common multiple can be found by multiplying the highest exponent prime factors of 8635 and 8640. First we will calculate the prime factors of 8635 and 8640.

Prime Factorization of 8635


5 8635
11 1727
157 157
1

Prime factors of 8635 are 5, 11,157. Prime factorization of 8635 in exponential form is:

8635 = 51×111×1571

Prime Factorization of 8640


2 8640
2 4320
2 2160
2 1080
2 540
2 270
3 135
3 45
3 15
5 5
1

Prime factors of 8640 are 2, 3,5. Prime factorization of 8640 in exponential form is:

8640 = 26×33×51

Now multiplying the highest exponent prime factors to calculate the LCM of 8635 and 8640.

LCM(8635,8640) = 26×33×51×111×1571
LCM(8635,8640) = 14921280

Factors of 8635

List of positive integer factors of 8635 that divides 8635 without a remainder.

1, 5, 11, 55, 157, 785, 1727, 8635

Factors of 8640

List of positive integer factors of 8640 that divides 8640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 64, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 192, 216, 240, 270, 288, 320, 360, 432, 480, 540, 576, 720, 864, 960, 1080, 1440, 1728, 2160, 2880, 4320, 8640

Least Common Multiple of 8635 and 8640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8635 and 8640, than apply into the LCM equation.

GCF(8635,8640) = 5
LCM(8635,8640) = ( 8635 × 8640) / 5
LCM(8635,8640) = 74606400 / 5
LCM(8635,8640) = 14921280

Properties of LCM 8635 and 8640

(i) The LCM of 8640 and 8635 is associative

LCM of 8635 and 8640 = LCM of 8640 and 8635

Related Least Common Multiples of 8635

Related Least Common Multiples of 8640

Frequently Asked Questions on LCM of 8635 and 8640

1. What is the LCM of 8635 and 8640?

Answer: LCM of 8635 and 8640 is 14921280.

2. What are the Factors of 8635?

Answer: Factors of 8635 are 1, 5, 11, 55, 157, 785, 1727, 8635. There are 8 integers that are factors of 8635. The greatest factor of 8635 is 8635.

3. What are the Factors of 8640?

Answer: Factors of 8640 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 64, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 192, 216, 240, 270, 288, 320, 360, 432, 480, 540, 576, 720, 864, 960, 1080, 1440, 1728, 2160, 2880, 4320, 8640. There are 56 integers that are factors of 8640. The greatest factor of 8640 is 8640.

4. How to Find the LCM of 8635 and 8640?

Answer:

Least Common Multiple of 8635 and 8640 = 14921280

Step 1: Find the prime factorization of 8635

8635 = 5 x 11 x 157

Step 2: Find the prime factorization of 8640

8640 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 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 = 14921280 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11 x 157

Step 4: Therefore, the least common multiple of 8635 and 8640 is 14921280.