Least Common Multiple of 7680 and 7687

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 7687 the smallest integer that is 59036160 that is divisible by both numbers.

Least Common Multiple (LCM) of 7680 and 7687 is 59036160.

LCM(7680,7687) = 59036160

LCM of 7680 and 7687

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

LCM of:
and

Least Common Multiple of 7680 and 7687

LCM of 7680 and 7687 is 59036160

Least common multiple can be found by multiplying the highest exponent prime factors of 7680 and 7687. First we will calculate the prime factors of 7680 and 7687.

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 7687


7687 7687
1

Prime factors of 7687 are 7687. Prime factorization of 7687 in exponential form is:

7687 = 76871

Now multiplying the highest exponent prime factors to calculate the LCM of 7680 and 7687.

LCM(7680,7687) = 29×31×51×76871
LCM(7680,7687) = 59036160

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 7687

List of positive integer factors of 7687 that divides 7687 without a remainder.

1, 7687

Least Common Multiple of 7680 and 7687 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 7687, than apply into the LCM equation.

GCF(7680,7687) = 1
LCM(7680,7687) = ( 7680 × 7687) / 1
LCM(7680,7687) = 59036160 / 1
LCM(7680,7687) = 59036160

Properties of LCM 7680 and 7687

(i) The LCM of 7687 and 7680 is associative

LCM of 7680 and 7687 = LCM of 7687 and 7680

Related Least Common Multiples of 7680

Related Least Common Multiples of 7687

Frequently Asked Questions on LCM of 7680 and 7687

1. What is the LCM of 7680 and 7687?

Answer: LCM of 7680 and 7687 is 59036160.

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 7687?

Answer: Factors of 7687 are 1, 7687. There are 2 integers that are factors of 7687. The greatest factor of 7687 is 7687.

4. How to Find the LCM of 7680 and 7687?

Answer:

Least Common Multiple of 7680 and 7687 = 59036160

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 7687

7687 = 7687

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

LCM = 59036160 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7687

Step 4: Therefore, the least common multiple of 7680 and 7687 is 59036160.