Least Common Multiple of 8687 and 8691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8687 and 8691 the smallest integer that is 75498717 that is divisible by both numbers.

Least Common Multiple (LCM) of 8687 and 8691 is 75498717.

LCM(8687,8691) = 75498717

LCM of 8687 and 8691

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

LCM of:
and

Least Common Multiple of 8687 and 8691

LCM of 8687 and 8691 is 75498717

Least common multiple can be found by multiplying the highest exponent prime factors of 8687 and 8691. First we will calculate the prime factors of 8687 and 8691.

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

Prime Factorization of 8691


3 8691
2897 2897
1

Prime factors of 8691 are 3,2897. Prime factorization of 8691 in exponential form is:

8691 = 31×28971

Now multiplying the highest exponent prime factors to calculate the LCM of 8687 and 8691.

LCM(8687,8691) = 31×71×171×731×28971
LCM(8687,8691) = 75498717

Factors of 8687

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

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

Factors of 8691

List of positive integer factors of 8691 that divides 8691 without a remainder.

1, 3, 2897, 8691

Least Common Multiple of 8687 and 8691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8687 and 8691, than apply into the LCM equation.

GCF(8687,8691) = 1
LCM(8687,8691) = ( 8687 × 8691) / 1
LCM(8687,8691) = 75498717 / 1
LCM(8687,8691) = 75498717

Properties of LCM 8687 and 8691

(i) The LCM of 8691 and 8687 is associative

LCM of 8687 and 8691 = LCM of 8691 and 8687

Related Least Common Multiples of 8687

Related Least Common Multiples of 8691

Frequently Asked Questions on LCM of 8687 and 8691

1. What is the LCM of 8687 and 8691?

Answer: LCM of 8687 and 8691 is 75498717.

2. 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.

3. What are the Factors of 8691?

Answer: Factors of 8691 are 1, 3, 2897, 8691. There are 4 integers that are factors of 8691. The greatest factor of 8691 is 8691.

4. How to Find the LCM of 8687 and 8691?

Answer:

Least Common Multiple of 8687 and 8691 = 75498717

Step 1: Find the prime factorization of 8687

8687 = 7 x 17 x 73

Step 2: Find the prime factorization of 8691

8691 = 3 x 2897

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

LCM = 75498717 = 3 x 7 x 17 x 73 x 2897

Step 4: Therefore, the least common multiple of 8687 and 8691 is 75498717.