Least Common Multiple of 7680 and 7685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7680 and 7685 the smallest integer that is 11804160 that is divisible by both numbers.

Least Common Multiple (LCM) of 7680 and 7685 is 11804160.

LCM(7680,7685) = 11804160

LCM of 7680 and 7685

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

LCM of:
and

Least Common Multiple of 7680 and 7685

LCM of 7680 and 7685 is 11804160

Least common multiple can be found by multiplying the highest exponent prime factors of 7680 and 7685. First we will calculate the prime factors of 7680 and 7685.

Prime Factorization of 7680


2 7680
2 3840
2 1920
2 960
2 480
2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 7680 are 2, 3,5. Prime factorization of 7680 in exponential form is:

7680 = 29×31×51

Prime Factorization of 7685


5 7685
29 1537
53 53
1

Prime factors of 7685 are 5, 29,53. Prime factorization of 7685 in exponential form is:

7685 = 51×291×531

Now multiplying the highest exponent prime factors to calculate the LCM of 7680 and 7685.

LCM(7680,7685) = 29×31×51×291×531
LCM(7680,7685) = 11804160

Factors of 7680

List of positive integer factors of 7680 that divides 7680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680

Factors of 7685

List of positive integer factors of 7685 that divides 7685 without a remainder.

1, 5, 29, 53, 145, 265, 1537, 7685

Least Common Multiple of 7680 and 7685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7680 and 7685, than apply into the LCM equation.

GCF(7680,7685) = 5
LCM(7680,7685) = ( 7680 × 7685) / 5
LCM(7680,7685) = 59020800 / 5
LCM(7680,7685) = 11804160

Properties of LCM 7680 and 7685

(i) The LCM of 7685 and 7680 is associative

LCM of 7680 and 7685 = LCM of 7685 and 7680

Related Least Common Multiples of 7680

Related Least Common Multiples of 7685

Frequently Asked Questions on LCM of 7680 and 7685

1. What is the LCM of 7680 and 7685?

Answer: LCM of 7680 and 7685 is 11804160.

2. What are the Factors of 7680?

Answer: Factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680. There are 40 integers that are factors of 7680. The greatest factor of 7680 is 7680.

3. What are the Factors of 7685?

Answer: Factors of 7685 are 1, 5, 29, 53, 145, 265, 1537, 7685. There are 8 integers that are factors of 7685. The greatest factor of 7685 is 7685.

4. How to Find the LCM of 7680 and 7685?

Answer:

Least Common Multiple of 7680 and 7685 = 11804160

Step 1: Find the prime factorization of 7680

7680 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Step 2: Find the prime factorization of 7685

7685 = 5 x 29 x 53

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

LCM = 11804160 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 29 x 53

Step 4: Therefore, the least common multiple of 7680 and 7685 is 11804160.