Least Common Multiple of 5680 and 5685

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 5685 the smallest integer that is 6458160 that is divisible by both numbers.

Least Common Multiple (LCM) of 5680 and 5685 is 6458160.

LCM(5680,5685) = 6458160

LCM of 5680 and 5685

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

LCM of:
and

Least Common Multiple of 5680 and 5685

LCM of 5680 and 5685 is 6458160

Least common multiple can be found by multiplying the highest exponent prime factors of 5680 and 5685. First we will calculate the prime factors of 5680 and 5685.

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 5685


3 5685
5 1895
379 379
1

Prime factors of 5685 are 3, 5,379. Prime factorization of 5685 in exponential form is:

5685 = 31×51×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 5680 and 5685.

LCM(5680,5685) = 24×31×51×711×3791
LCM(5680,5685) = 6458160

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 5685

List of positive integer factors of 5685 that divides 5685 without a remainder.

1, 3, 5, 15, 379, 1137, 1895, 5685

Least Common Multiple of 5680 and 5685 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 5685, than apply into the LCM equation.

GCF(5680,5685) = 5
LCM(5680,5685) = ( 5680 × 5685) / 5
LCM(5680,5685) = 32290800 / 5
LCM(5680,5685) = 6458160

Properties of LCM 5680 and 5685

(i) The LCM of 5685 and 5680 is associative

LCM of 5680 and 5685 = LCM of 5685 and 5680

Related Least Common Multiples of 5680

Related Least Common Multiples of 5685

Frequently Asked Questions on LCM of 5680 and 5685

1. What is the LCM of 5680 and 5685?

Answer: LCM of 5680 and 5685 is 6458160.

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 5685?

Answer: Factors of 5685 are 1, 3, 5, 15, 379, 1137, 1895, 5685. There are 8 integers that are factors of 5685. The greatest factor of 5685 is 5685.

4. How to Find the LCM of 5680 and 5685?

Answer:

Least Common Multiple of 5680 and 5685 = 6458160

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 5685

5685 = 3 x 5 x 379

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

LCM = 6458160 = 2 x 2 x 2 x 2 x 3 x 5 x 71 x 379

Step 4: Therefore, the least common multiple of 5680 and 5685 is 6458160.