Least Common Multiple of 8634 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 8634 and 8640 the smallest integer that is 12432960 that is divisible by both numbers.

Least Common Multiple (LCM) of 8634 and 8640 is 12432960.

LCM(8634,8640) = 12432960

LCM of 8634 and 8640

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

LCM of:
and

Least Common Multiple of 8634 and 8640

LCM of 8634 and 8640 is 12432960

Least common multiple can be found by multiplying the highest exponent prime factors of 8634 and 8640. First we will calculate the prime factors of 8634 and 8640.

Prime Factorization of 8634


2 8634
3 4317
1439 1439
1

Prime factors of 8634 are 2, 3,1439. Prime factorization of 8634 in exponential form is:

8634 = 21×31×14391

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 8634 and 8640.

LCM(8634,8640) = 26×33×51×14391
LCM(8634,8640) = 12432960

Factors of 8634

List of positive integer factors of 8634 that divides 8634 without a remainder.

1, 2, 3, 6, 1439, 2878, 4317, 8634

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 8634 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 8634 and 8640, than apply into the LCM equation.

GCF(8634,8640) = 6
LCM(8634,8640) = ( 8634 × 8640) / 6
LCM(8634,8640) = 74597760 / 6
LCM(8634,8640) = 12432960

Properties of LCM 8634 and 8640

(i) The LCM of 8640 and 8634 is associative

LCM of 8634 and 8640 = LCM of 8640 and 8634

Related Least Common Multiples of 8634

Related Least Common Multiples of 8640

Frequently Asked Questions on LCM of 8634 and 8640

1. What is the LCM of 8634 and 8640?

Answer: LCM of 8634 and 8640 is 12432960.

2. What are the Factors of 8634?

Answer: Factors of 8634 are 1, 2, 3, 6, 1439, 2878, 4317, 8634. There are 8 integers that are factors of 8634. The greatest factor of 8634 is 8634.

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 8634 and 8640?

Answer:

Least Common Multiple of 8634 and 8640 = 12432960

Step 1: Find the prime factorization of 8634

8634 = 2 x 3 x 1439

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 = 12432960 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 1439

Step 4: Therefore, the least common multiple of 8634 and 8640 is 12432960.