Least Common Multiple of 8680 and 8687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8680 and 8687 the smallest integer that is 10771880 that is divisible by both numbers.

Least Common Multiple (LCM) of 8680 and 8687 is 10771880.

LCM(8680,8687) = 10771880

LCM of 8680 and 8687

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

LCM of:
and

Least Common Multiple of 8680 and 8687

LCM of 8680 and 8687 is 10771880

Least common multiple can be found by multiplying the highest exponent prime factors of 8680 and 8687. First we will calculate the prime factors of 8680 and 8687.

Prime Factorization of 8680


2 8680
2 4340
2 2170
5 1085
7 217
31 31
1

Prime factors of 8680 are 2, 5, 7,31. Prime factorization of 8680 in exponential form is:

8680 = 23×51×71×311

Prime Factorization of 8687


7 8687
17 1241
73 73
1

Prime factors of 8687 are 7, 17,73. Prime factorization of 8687 in exponential form is:

8687 = 71×171×731

Now multiplying the highest exponent prime factors to calculate the LCM of 8680 and 8687.

LCM(8680,8687) = 23×51×71×171×311×731
LCM(8680,8687) = 10771880

Factors of 8680

List of positive integer factors of 8680 that divides 8680 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 56, 62, 70, 124, 140, 155, 217, 248, 280, 310, 434, 620, 868, 1085, 1240, 1736, 2170, 4340, 8680

Factors of 8687

List of positive integer factors of 8687 that divides 8687 without a remainder.

1, 7, 17, 73, 119, 511, 1241, 8687

Least Common Multiple of 8680 and 8687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8680 and 8687, than apply into the LCM equation.

GCF(8680,8687) = 7
LCM(8680,8687) = ( 8680 × 8687) / 7
LCM(8680,8687) = 75403160 / 7
LCM(8680,8687) = 10771880

Properties of LCM 8680 and 8687

(i) The LCM of 8687 and 8680 is associative

LCM of 8680 and 8687 = LCM of 8687 and 8680

Related Least Common Multiples of 8680

Related Least Common Multiples of 8687

Frequently Asked Questions on LCM of 8680 and 8687

1. What is the LCM of 8680 and 8687?

Answer: LCM of 8680 and 8687 is 10771880.

2. What are the Factors of 8680?

Answer: Factors of 8680 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 56, 62, 70, 124, 140, 155, 217, 248, 280, 310, 434, 620, 868, 1085, 1240, 1736, 2170, 4340, 8680. There are 32 integers that are factors of 8680. The greatest factor of 8680 is 8680.

3. What are the Factors of 8687?

Answer: Factors of 8687 are 1, 7, 17, 73, 119, 511, 1241, 8687. There are 8 integers that are factors of 8687. The greatest factor of 8687 is 8687.

4. How to Find the LCM of 8680 and 8687?

Answer:

Least Common Multiple of 8680 and 8687 = 10771880

Step 1: Find the prime factorization of 8680

8680 = 2 x 2 x 2 x 5 x 7 x 31

Step 2: Find the prime factorization of 8687

8687 = 7 x 17 x 73

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

LCM = 10771880 = 2 x 2 x 2 x 5 x 7 x 17 x 31 x 73

Step 4: Therefore, the least common multiple of 8680 and 8687 is 10771880.