Least Common Multiple of 8691 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 8691 and 8696 the smallest integer that is 75576936 that is divisible by both numbers.

Least Common Multiple (LCM) of 8691 and 8696 is 75576936.

LCM(8691,8696) = 75576936

LCM of 8691 and 8696

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

LCM of:
and

Least Common Multiple of 8691 and 8696

LCM of 8691 and 8696 is 75576936

Least common multiple can be found by multiplying the highest exponent prime factors of 8691 and 8696. First we will calculate the prime factors of 8691 and 8696.

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

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 8691 and 8696.

LCM(8691,8696) = 23×31×10871×28971
LCM(8691,8696) = 75576936

Factors of 8691

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

1, 3, 2897, 8691

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 8691 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 8691 and 8696, than apply into the LCM equation.

GCF(8691,8696) = 1
LCM(8691,8696) = ( 8691 × 8696) / 1
LCM(8691,8696) = 75576936 / 1
LCM(8691,8696) = 75576936

Properties of LCM 8691 and 8696

(i) The LCM of 8696 and 8691 is associative

LCM of 8691 and 8696 = LCM of 8696 and 8691

Related Least Common Multiples of 8691

Related Least Common Multiples of 8696

Frequently Asked Questions on LCM of 8691 and 8696

1. What is the LCM of 8691 and 8696?

Answer: LCM of 8691 and 8696 is 75576936.

2. 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.

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 8691 and 8696?

Answer:

Least Common Multiple of 8691 and 8696 = 75576936

Step 1: Find the prime factorization of 8691

8691 = 3 x 2897

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 = 75576936 = 2 x 2 x 2 x 3 x 1087 x 2897

Step 4: Therefore, the least common multiple of 8691 and 8696 is 75576936.