Least Common Multiple of 8682 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 8682 and 8687 the smallest integer that is 75420534 that is divisible by both numbers.

Least Common Multiple (LCM) of 8682 and 8687 is 75420534.

LCM(8682,8687) = 75420534

LCM of 8682 and 8687

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

LCM of:
and

Least Common Multiple of 8682 and 8687

LCM of 8682 and 8687 is 75420534

Least common multiple can be found by multiplying the highest exponent prime factors of 8682 and 8687. First we will calculate the prime factors of 8682 and 8687.

Prime Factorization of 8682


2 8682
3 4341
1447 1447
1

Prime factors of 8682 are 2, 3,1447. Prime factorization of 8682 in exponential form is:

8682 = 21×31×14471

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 8682 and 8687.

LCM(8682,8687) = 21×31×71×171×731×14471
LCM(8682,8687) = 75420534

Factors of 8682

List of positive integer factors of 8682 that divides 8682 without a remainder.

1, 2, 3, 6, 1447, 2894, 4341, 8682

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 8682 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 8682 and 8687, than apply into the LCM equation.

GCF(8682,8687) = 1
LCM(8682,8687) = ( 8682 × 8687) / 1
LCM(8682,8687) = 75420534 / 1
LCM(8682,8687) = 75420534

Properties of LCM 8682 and 8687

(i) The LCM of 8687 and 8682 is associative

LCM of 8682 and 8687 = LCM of 8687 and 8682

Related Least Common Multiples of 8682

Related Least Common Multiples of 8687

Frequently Asked Questions on LCM of 8682 and 8687

1. What is the LCM of 8682 and 8687?

Answer: LCM of 8682 and 8687 is 75420534.

2. What are the Factors of 8682?

Answer: Factors of 8682 are 1, 2, 3, 6, 1447, 2894, 4341, 8682. There are 8 integers that are factors of 8682. The greatest factor of 8682 is 8682.

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 8682 and 8687?

Answer:

Least Common Multiple of 8682 and 8687 = 75420534

Step 1: Find the prime factorization of 8682

8682 = 2 x 3 x 1447

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 = 75420534 = 2 x 3 x 7 x 17 x 73 x 1447

Step 4: Therefore, the least common multiple of 8682 and 8687 is 75420534.