Least Common Multiple of 8682 and 8689

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 8689 the smallest integer that is 75437898 that is divisible by both numbers.

Least Common Multiple (LCM) of 8682 and 8689 is 75437898.

LCM(8682,8689) = 75437898

LCM of 8682 and 8689

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

LCM of:
and

Least Common Multiple of 8682 and 8689

LCM of 8682 and 8689 is 75437898

Least common multiple can be found by multiplying the highest exponent prime factors of 8682 and 8689. First we will calculate the prime factors of 8682 and 8689.

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 8689


8689 8689
1

Prime factors of 8689 are 8689. Prime factorization of 8689 in exponential form is:

8689 = 86891

Now multiplying the highest exponent prime factors to calculate the LCM of 8682 and 8689.

LCM(8682,8689) = 21×31×14471×86891
LCM(8682,8689) = 75437898

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 8689

List of positive integer factors of 8689 that divides 8689 without a remainder.

1, 8689

Least Common Multiple of 8682 and 8689 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 8689, than apply into the LCM equation.

GCF(8682,8689) = 1
LCM(8682,8689) = ( 8682 × 8689) / 1
LCM(8682,8689) = 75437898 / 1
LCM(8682,8689) = 75437898

Properties of LCM 8682 and 8689

(i) The LCM of 8689 and 8682 is associative

LCM of 8682 and 8689 = LCM of 8689 and 8682

Related Least Common Multiples of 8682

Related Least Common Multiples of 8689

Frequently Asked Questions on LCM of 8682 and 8689

1. What is the LCM of 8682 and 8689?

Answer: LCM of 8682 and 8689 is 75437898.

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 8689?

Answer: Factors of 8689 are 1, 8689. There are 2 integers that are factors of 8689. The greatest factor of 8689 is 8689.

4. How to Find the LCM of 8682 and 8689?

Answer:

Least Common Multiple of 8682 and 8689 = 75437898

Step 1: Find the prime factorization of 8682

8682 = 2 x 3 x 1447

Step 2: Find the prime factorization of 8689

8689 = 8689

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

LCM = 75437898 = 2 x 3 x 1447 x 8689

Step 4: Therefore, the least common multiple of 8682 and 8689 is 75437898.