Least Common Multiple of 8689 and 8696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8689 and 8696 the smallest integer that is 75559544 that is divisible by both numbers.

Least Common Multiple (LCM) of 8689 and 8696 is 75559544.

LCM(8689,8696) = 75559544

LCM of 8689 and 8696

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

LCM of:
and

Least Common Multiple of 8689 and 8696

LCM of 8689 and 8696 is 75559544

Least common multiple can be found by multiplying the highest exponent prime factors of 8689 and 8696. First we will calculate the prime factors of 8689 and 8696.

Prime Factorization of 8689


8689 8689
1

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

8689 = 86891

Prime Factorization of 8696


2 8696
2 4348
2 2174
1087 1087
1

Prime factors of 8696 are 2,1087. Prime factorization of 8696 in exponential form is:

8696 = 23×10871

Now multiplying the highest exponent prime factors to calculate the LCM of 8689 and 8696.

LCM(8689,8696) = 23×10871×86891
LCM(8689,8696) = 75559544

Factors of 8689

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

1, 8689

Factors of 8696

List of positive integer factors of 8696 that divides 8696 without a remainder.

1, 2, 4, 8, 1087, 2174, 4348, 8696

Least Common Multiple of 8689 and 8696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8689 and 8696, than apply into the LCM equation.

GCF(8689,8696) = 1
LCM(8689,8696) = ( 8689 × 8696) / 1
LCM(8689,8696) = 75559544 / 1
LCM(8689,8696) = 75559544

Properties of LCM 8689 and 8696

(i) The LCM of 8696 and 8689 is associative

LCM of 8689 and 8696 = LCM of 8696 and 8689

Related Least Common Multiples of 8689

Related Least Common Multiples of 8696

Frequently Asked Questions on LCM of 8689 and 8696

1. What is the LCM of 8689 and 8696?

Answer: LCM of 8689 and 8696 is 75559544.

2. 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.

3. What are the Factors of 8696?

Answer: Factors of 8696 are 1, 2, 4, 8, 1087, 2174, 4348, 8696. There are 8 integers that are factors of 8696. The greatest factor of 8696 is 8696.

4. How to Find the LCM of 8689 and 8696?

Answer:

Least Common Multiple of 8689 and 8696 = 75559544

Step 1: Find the prime factorization of 8689

8689 = 8689

Step 2: Find the prime factorization of 8696

8696 = 2 x 2 x 2 x 1087

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

LCM = 75559544 = 2 x 2 x 2 x 1087 x 8689

Step 4: Therefore, the least common multiple of 8689 and 8696 is 75559544.