Least Common Multiple of 8684 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 8684 and 8691 the smallest integer that is 75472644 that is divisible by both numbers.

Least Common Multiple (LCM) of 8684 and 8691 is 75472644.

LCM(8684,8691) = 75472644

LCM of 8684 and 8691

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

LCM of:
and

Least Common Multiple of 8684 and 8691

LCM of 8684 and 8691 is 75472644

Least common multiple can be found by multiplying the highest exponent prime factors of 8684 and 8691. First we will calculate the prime factors of 8684 and 8691.

Prime Factorization of 8684


2 8684
2 4342
13 2171
167 167
1

Prime factors of 8684 are 2, 13,167. Prime factorization of 8684 in exponential form is:

8684 = 22×131×1671

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 8684 and 8691.

LCM(8684,8691) = 22×31×131×1671×28971
LCM(8684,8691) = 75472644

Factors of 8684

List of positive integer factors of 8684 that divides 8684 without a remainder.

1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684

Factors of 8691

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

1, 3, 2897, 8691

Least Common Multiple of 8684 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 8684 and 8691, than apply into the LCM equation.

GCF(8684,8691) = 1
LCM(8684,8691) = ( 8684 × 8691) / 1
LCM(8684,8691) = 75472644 / 1
LCM(8684,8691) = 75472644

Properties of LCM 8684 and 8691

(i) The LCM of 8691 and 8684 is associative

LCM of 8684 and 8691 = LCM of 8691 and 8684

Related Least Common Multiples of 8684

Related Least Common Multiples of 8691

Frequently Asked Questions on LCM of 8684 and 8691

1. What is the LCM of 8684 and 8691?

Answer: LCM of 8684 and 8691 is 75472644.

2. What are the Factors of 8684?

Answer: Factors of 8684 are 1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684. There are 12 integers that are factors of 8684. The greatest factor of 8684 is 8684.

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 8684 and 8691?

Answer:

Least Common Multiple of 8684 and 8691 = 75472644

Step 1: Find the prime factorization of 8684

8684 = 2 x 2 x 13 x 167

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 = 75472644 = 2 x 2 x 3 x 13 x 167 x 2897

Step 4: Therefore, the least common multiple of 8684 and 8691 is 75472644.