Least Common Multiple of 8640 and 8648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8640 and 8648 the smallest integer that is 9339840 that is divisible by both numbers.

Least Common Multiple (LCM) of 8640 and 8648 is 9339840.

LCM(8640,8648) = 9339840

LCM of 8640 and 8648

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

LCM of:
and

Least Common Multiple of 8640 and 8648

LCM of 8640 and 8648 is 9339840

Least common multiple can be found by multiplying the highest exponent prime factors of 8640 and 8648. First we will calculate the prime factors of 8640 and 8648.

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

Prime Factorization of 8648


2 8648
2 4324
2 2162
23 1081
47 47
1

Prime factors of 8648 are 2, 23,47. Prime factorization of 8648 in exponential form is:

8648 = 23×231×471

Now multiplying the highest exponent prime factors to calculate the LCM of 8640 and 8648.

LCM(8640,8648) = 26×33×51×231×471
LCM(8640,8648) = 9339840

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

Factors of 8648

List of positive integer factors of 8648 that divides 8648 without a remainder.

1, 2, 4, 8, 23, 46, 47, 92, 94, 184, 188, 376, 1081, 2162, 4324, 8648

Least Common Multiple of 8640 and 8648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8640 and 8648, than apply into the LCM equation.

GCF(8640,8648) = 8
LCM(8640,8648) = ( 8640 × 8648) / 8
LCM(8640,8648) = 74718720 / 8
LCM(8640,8648) = 9339840

Properties of LCM 8640 and 8648

(i) The LCM of 8648 and 8640 is associative

LCM of 8640 and 8648 = LCM of 8648 and 8640

Related Least Common Multiples of 8640

Related Least Common Multiples of 8648

Frequently Asked Questions on LCM of 8640 and 8648

1. What is the LCM of 8640 and 8648?

Answer: LCM of 8640 and 8648 is 9339840.

2. 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.

3. What are the Factors of 8648?

Answer: Factors of 8648 are 1, 2, 4, 8, 23, 46, 47, 92, 94, 184, 188, 376, 1081, 2162, 4324, 8648. There are 16 integers that are factors of 8648. The greatest factor of 8648 is 8648.

4. How to Find the LCM of 8640 and 8648?

Answer:

Least Common Multiple of 8640 and 8648 = 9339840

Step 1: 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 2: Find the prime factorization of 8648

8648 = 2 x 2 x 2 x 23 x 47

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

LCM = 9339840 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 23 x 47

Step 4: Therefore, the least common multiple of 8640 and 8648 is 9339840.