Least Common Multiple of 5680 and 5684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5680 and 5684 the smallest integer that is 8071280 that is divisible by both numbers.

Least Common Multiple (LCM) of 5680 and 5684 is 8071280.

LCM(5680,5684) = 8071280

LCM of 5680 and 5684

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

LCM of:
and

Least Common Multiple of 5680 and 5684

LCM of 5680 and 5684 is 8071280

Least common multiple can be found by multiplying the highest exponent prime factors of 5680 and 5684. First we will calculate the prime factors of 5680 and 5684.

Prime Factorization of 5680


2 5680
2 2840
2 1420
2 710
5 355
71 71
1

Prime factors of 5680 are 2, 5,71. Prime factorization of 5680 in exponential form is:

5680 = 24×51×711

Prime Factorization of 5684


2 5684
2 2842
7 1421
7 203
29 29
1

Prime factors of 5684 are 2, 7,29. Prime factorization of 5684 in exponential form is:

5684 = 22×72×291

Now multiplying the highest exponent prime factors to calculate the LCM of 5680 and 5684.

LCM(5680,5684) = 24×51×72×291×711
LCM(5680,5684) = 8071280

Factors of 5680

List of positive integer factors of 5680 that divides 5680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 71, 80, 142, 284, 355, 568, 710, 1136, 1420, 2840, 5680

Factors of 5684

List of positive integer factors of 5684 that divides 5684 without a remainder.

1, 2, 4, 7, 14, 28, 29, 49, 58, 98, 116, 196, 203, 406, 812, 1421, 2842, 5684

Least Common Multiple of 5680 and 5684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5680 and 5684, than apply into the LCM equation.

GCF(5680,5684) = 4
LCM(5680,5684) = ( 5680 × 5684) / 4
LCM(5680,5684) = 32285120 / 4
LCM(5680,5684) = 8071280

Properties of LCM 5680 and 5684

(i) The LCM of 5684 and 5680 is associative

LCM of 5680 and 5684 = LCM of 5684 and 5680

Related Least Common Multiples of 5680

Related Least Common Multiples of 5684

Frequently Asked Questions on LCM of 5680 and 5684

1. What is the LCM of 5680 and 5684?

Answer: LCM of 5680 and 5684 is 8071280.

2. What are the Factors of 5680?

Answer: Factors of 5680 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 71, 80, 142, 284, 355, 568, 710, 1136, 1420, 2840, 5680. There are 20 integers that are factors of 5680. The greatest factor of 5680 is 5680.

3. What are the Factors of 5684?

Answer: Factors of 5684 are 1, 2, 4, 7, 14, 28, 29, 49, 58, 98, 116, 196, 203, 406, 812, 1421, 2842, 5684. There are 18 integers that are factors of 5684. The greatest factor of 5684 is 5684.

4. How to Find the LCM of 5680 and 5684?

Answer:

Least Common Multiple of 5680 and 5684 = 8071280

Step 1: Find the prime factorization of 5680

5680 = 2 x 2 x 2 x 2 x 5 x 71

Step 2: Find the prime factorization of 5684

5684 = 2 x 2 x 7 x 7 x 29

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

LCM = 8071280 = 2 x 2 x 2 x 2 x 5 x 7 x 7 x 29 x 71

Step 4: Therefore, the least common multiple of 5680 and 5684 is 8071280.