Least Common Multiple of 8691 and 8697

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 8697 the smallest integer that is 25195209 that is divisible by both numbers.

Least Common Multiple (LCM) of 8691 and 8697 is 25195209.

LCM(8691,8697) = 25195209

LCM of 8691 and 8697

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

LCM of:
and

Least Common Multiple of 8691 and 8697

LCM of 8691 and 8697 is 25195209

Least common multiple can be found by multiplying the highest exponent prime factors of 8691 and 8697. First we will calculate the prime factors of 8691 and 8697.

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 8697


3 8697
13 2899
223 223
1

Prime factors of 8697 are 3, 13,223. Prime factorization of 8697 in exponential form is:

8697 = 31×131×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 8691 and 8697.

LCM(8691,8697) = 31×131×2231×28971
LCM(8691,8697) = 25195209

Factors of 8691

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

1, 3, 2897, 8691

Factors of 8697

List of positive integer factors of 8697 that divides 8697 without a remainder.

1, 3, 13, 39, 223, 669, 2899, 8697

Least Common Multiple of 8691 and 8697 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 8697, than apply into the LCM equation.

GCF(8691,8697) = 3
LCM(8691,8697) = ( 8691 × 8697) / 3
LCM(8691,8697) = 75585627 / 3
LCM(8691,8697) = 25195209

Properties of LCM 8691 and 8697

(i) The LCM of 8697 and 8691 is associative

LCM of 8691 and 8697 = LCM of 8697 and 8691

Related Least Common Multiples of 8691

Related Least Common Multiples of 8697

Frequently Asked Questions on LCM of 8691 and 8697

1. What is the LCM of 8691 and 8697?

Answer: LCM of 8691 and 8697 is 25195209.

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 8697?

Answer: Factors of 8697 are 1, 3, 13, 39, 223, 669, 2899, 8697. There are 8 integers that are factors of 8697. The greatest factor of 8697 is 8697.

4. How to Find the LCM of 8691 and 8697?

Answer:

Least Common Multiple of 8691 and 8697 = 25195209

Step 1: Find the prime factorization of 8691

8691 = 3 x 2897

Step 2: Find the prime factorization of 8697

8697 = 3 x 13 x 223

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

LCM = 25195209 = 3 x 13 x 223 x 2897

Step 4: Therefore, the least common multiple of 8691 and 8697 is 25195209.