Least Common Multiple of 8691 and 8699

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 8699 the smallest integer that is 75603009 that is divisible by both numbers.

Least Common Multiple (LCM) of 8691 and 8699 is 75603009.

LCM(8691,8699) = 75603009

LCM of 8691 and 8699

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

LCM of:
and

Least Common Multiple of 8691 and 8699

LCM of 8691 and 8699 is 75603009

Least common multiple can be found by multiplying the highest exponent prime factors of 8691 and 8699. First we will calculate the prime factors of 8691 and 8699.

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 8699


8699 8699
1

Prime factors of 8699 are 8699. Prime factorization of 8699 in exponential form is:

8699 = 86991

Now multiplying the highest exponent prime factors to calculate the LCM of 8691 and 8699.

LCM(8691,8699) = 31×28971×86991
LCM(8691,8699) = 75603009

Factors of 8691

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

1, 3, 2897, 8691

Factors of 8699

List of positive integer factors of 8699 that divides 8699 without a remainder.

1, 8699

Least Common Multiple of 8691 and 8699 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 8699, than apply into the LCM equation.

GCF(8691,8699) = 1
LCM(8691,8699) = ( 8691 × 8699) / 1
LCM(8691,8699) = 75603009 / 1
LCM(8691,8699) = 75603009

Properties of LCM 8691 and 8699

(i) The LCM of 8699 and 8691 is associative

LCM of 8691 and 8699 = LCM of 8699 and 8691

Related Least Common Multiples of 8691

Related Least Common Multiples of 8699

Frequently Asked Questions on LCM of 8691 and 8699

1. What is the LCM of 8691 and 8699?

Answer: LCM of 8691 and 8699 is 75603009.

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 8699?

Answer: Factors of 8699 are 1, 8699. There are 2 integers that are factors of 8699. The greatest factor of 8699 is 8699.

4. How to Find the LCM of 8691 and 8699?

Answer:

Least Common Multiple of 8691 and 8699 = 75603009

Step 1: Find the prime factorization of 8691

8691 = 3 x 2897

Step 2: Find the prime factorization of 8699

8699 = 8699

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

LCM = 75603009 = 3 x 2897 x 8699

Step 4: Therefore, the least common multiple of 8691 and 8699 is 75603009.