Least Common Multiple of 8633 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 8633 and 8640 the smallest integer that is 74589120 that is divisible by both numbers.

Least Common Multiple (LCM) of 8633 and 8640 is 74589120.

LCM(8633,8640) = 74589120

LCM of 8633 and 8640

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

LCM of:
and

Least Common Multiple of 8633 and 8640

LCM of 8633 and 8640 is 74589120

Least common multiple can be found by multiplying the highest exponent prime factors of 8633 and 8640. First we will calculate the prime factors of 8633 and 8640.

Prime Factorization of 8633


89 8633
97 97
1

Prime factors of 8633 are 89,97. Prime factorization of 8633 in exponential form is:

8633 = 891×971

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 8633 and 8640.

LCM(8633,8640) = 26×33×51×891×971
LCM(8633,8640) = 74589120

Factors of 8633

List of positive integer factors of 8633 that divides 8633 without a remainder.

1, 89, 97, 8633

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 8633 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 8633 and 8640, than apply into the LCM equation.

GCF(8633,8640) = 1
LCM(8633,8640) = ( 8633 × 8640) / 1
LCM(8633,8640) = 74589120 / 1
LCM(8633,8640) = 74589120

Properties of LCM 8633 and 8640

(i) The LCM of 8640 and 8633 is associative

LCM of 8633 and 8640 = LCM of 8640 and 8633

Related Least Common Multiples of 8633

Related Least Common Multiples of 8640

Frequently Asked Questions on LCM of 8633 and 8640

1. What is the LCM of 8633 and 8640?

Answer: LCM of 8633 and 8640 is 74589120.

2. What are the Factors of 8633?

Answer: Factors of 8633 are 1, 89, 97, 8633. There are 4 integers that are factors of 8633. The greatest factor of 8633 is 8633.

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 8633 and 8640?

Answer:

Least Common Multiple of 8633 and 8640 = 74589120

Step 1: Find the prime factorization of 8633

8633 = 89 x 97

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 = 74589120 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 89 x 97

Step 4: Therefore, the least common multiple of 8633 and 8640 is 74589120.