Least Common Multiple of 8632 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 8632 and 8640 the smallest integer that is 9322560 that is divisible by both numbers.

Least Common Multiple (LCM) of 8632 and 8640 is 9322560.

LCM(8632,8640) = 9322560

LCM of 8632 and 8640

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

LCM of:
and

Least Common Multiple of 8632 and 8640

LCM of 8632 and 8640 is 9322560

Least common multiple can be found by multiplying the highest exponent prime factors of 8632 and 8640. First we will calculate the prime factors of 8632 and 8640.

Prime Factorization of 8632


2 8632
2 4316
2 2158
13 1079
83 83
1

Prime factors of 8632 are 2, 13,83. Prime factorization of 8632 in exponential form is:

8632 = 23×131×831

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 8632 and 8640.

LCM(8632,8640) = 26×33×51×131×831
LCM(8632,8640) = 9322560

Factors of 8632

List of positive integer factors of 8632 that divides 8632 without a remainder.

1, 2, 4, 8, 13, 26, 52, 83, 104, 166, 332, 664, 1079, 2158, 4316, 8632

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 8632 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 8632 and 8640, than apply into the LCM equation.

GCF(8632,8640) = 8
LCM(8632,8640) = ( 8632 × 8640) / 8
LCM(8632,8640) = 74580480 / 8
LCM(8632,8640) = 9322560

Properties of LCM 8632 and 8640

(i) The LCM of 8640 and 8632 is associative

LCM of 8632 and 8640 = LCM of 8640 and 8632

Related Least Common Multiples of 8632

Related Least Common Multiples of 8640

Frequently Asked Questions on LCM of 8632 and 8640

1. What is the LCM of 8632 and 8640?

Answer: LCM of 8632 and 8640 is 9322560.

2. What are the Factors of 8632?

Answer: Factors of 8632 are 1, 2, 4, 8, 13, 26, 52, 83, 104, 166, 332, 664, 1079, 2158, 4316, 8632. There are 16 integers that are factors of 8632. The greatest factor of 8632 is 8632.

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 8632 and 8640?

Answer:

Least Common Multiple of 8632 and 8640 = 9322560

Step 1: Find the prime factorization of 8632

8632 = 2 x 2 x 2 x 13 x 83

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 = 9322560 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 13 x 83

Step 4: Therefore, the least common multiple of 8632 and 8640 is 9322560.