Least Common Multiple of 8683 and 8691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8683 and 8691 the smallest integer that is 75463953 that is divisible by both numbers.

Least Common Multiple (LCM) of 8683 and 8691 is 75463953.

LCM(8683,8691) = 75463953

LCM of 8683 and 8691

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

LCM of:
and

Least Common Multiple of 8683 and 8691

LCM of 8683 and 8691 is 75463953

Least common multiple can be found by multiplying the highest exponent prime factors of 8683 and 8691. First we will calculate the prime factors of 8683 and 8691.

Prime Factorization of 8683


19 8683
457 457
1

Prime factors of 8683 are 19,457. Prime factorization of 8683 in exponential form is:

8683 = 191×4571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8683 and 8691.

LCM(8683,8691) = 31×191×4571×28971
LCM(8683,8691) = 75463953

Factors of 8683

List of positive integer factors of 8683 that divides 8683 without a remainder.

1, 19, 457, 8683

Factors of 8691

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

1, 3, 2897, 8691

Least Common Multiple of 8683 and 8691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8683 and 8691, than apply into the LCM equation.

GCF(8683,8691) = 1
LCM(8683,8691) = ( 8683 × 8691) / 1
LCM(8683,8691) = 75463953 / 1
LCM(8683,8691) = 75463953

Properties of LCM 8683 and 8691

(i) The LCM of 8691 and 8683 is associative

LCM of 8683 and 8691 = LCM of 8691 and 8683

Related Least Common Multiples of 8683

Related Least Common Multiples of 8691

Frequently Asked Questions on LCM of 8683 and 8691

1. What is the LCM of 8683 and 8691?

Answer: LCM of 8683 and 8691 is 75463953.

2. What are the Factors of 8683?

Answer: Factors of 8683 are 1, 19, 457, 8683. There are 4 integers that are factors of 8683. The greatest factor of 8683 is 8683.

3. 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.

4. How to Find the LCM of 8683 and 8691?

Answer:

Least Common Multiple of 8683 and 8691 = 75463953

Step 1: Find the prime factorization of 8683

8683 = 19 x 457

Step 2: Find the prime factorization of 8691

8691 = 3 x 2897

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

LCM = 75463953 = 3 x 19 x 457 x 2897

Step 4: Therefore, the least common multiple of 8683 and 8691 is 75463953.