Least Common Multiple of 8640 and 8642

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 8642 the smallest integer that is 37333440 that is divisible by both numbers.

Least Common Multiple (LCM) of 8640 and 8642 is 37333440.

LCM(8640,8642) = 37333440

LCM of 8640 and 8642

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

LCM of:
and

Least Common Multiple of 8640 and 8642

LCM of 8640 and 8642 is 37333440

Least common multiple can be found by multiplying the highest exponent prime factors of 8640 and 8642. First we will calculate the prime factors of 8640 and 8642.

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 8642


2 8642
29 4321
149 149
1

Prime factors of 8642 are 2, 29,149. Prime factorization of 8642 in exponential form is:

8642 = 21×291×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 8640 and 8642.

LCM(8640,8642) = 26×33×51×291×1491
LCM(8640,8642) = 37333440

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 8642

List of positive integer factors of 8642 that divides 8642 without a remainder.

1, 2, 29, 58, 149, 298, 4321, 8642

Least Common Multiple of 8640 and 8642 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 8642, than apply into the LCM equation.

GCF(8640,8642) = 2
LCM(8640,8642) = ( 8640 × 8642) / 2
LCM(8640,8642) = 74666880 / 2
LCM(8640,8642) = 37333440

Properties of LCM 8640 and 8642

(i) The LCM of 8642 and 8640 is associative

LCM of 8640 and 8642 = LCM of 8642 and 8640

Related Least Common Multiples of 8640

Related Least Common Multiples of 8642

Frequently Asked Questions on LCM of 8640 and 8642

1. What is the LCM of 8640 and 8642?

Answer: LCM of 8640 and 8642 is 37333440.

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 8642?

Answer: Factors of 8642 are 1, 2, 29, 58, 149, 298, 4321, 8642. There are 8 integers that are factors of 8642. The greatest factor of 8642 is 8642.

4. How to Find the LCM of 8640 and 8642?

Answer:

Least Common Multiple of 8640 and 8642 = 37333440

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 8642

8642 = 2 x 29 x 149

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

LCM = 37333440 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 29 x 149

Step 4: Therefore, the least common multiple of 8640 and 8642 is 37333440.