Least Common Multiple of 8687 and 8692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8687 and 8692 the smallest integer that is 75507404 that is divisible by both numbers.

Least Common Multiple (LCM) of 8687 and 8692 is 75507404.

LCM(8687,8692) = 75507404

LCM of 8687 and 8692

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

LCM of:
and

Least Common Multiple of 8687 and 8692

LCM of 8687 and 8692 is 75507404

Least common multiple can be found by multiplying the highest exponent prime factors of 8687 and 8692. First we will calculate the prime factors of 8687 and 8692.

Prime Factorization of 8687


7 8687
17 1241
73 73
1

Prime factors of 8687 are 7, 17,73. Prime factorization of 8687 in exponential form is:

8687 = 71×171×731

Prime Factorization of 8692


2 8692
2 4346
41 2173
53 53
1

Prime factors of 8692 are 2, 41,53. Prime factorization of 8692 in exponential form is:

8692 = 22×411×531

Now multiplying the highest exponent prime factors to calculate the LCM of 8687 and 8692.

LCM(8687,8692) = 22×71×171×411×531×731
LCM(8687,8692) = 75507404

Factors of 8687

List of positive integer factors of 8687 that divides 8687 without a remainder.

1, 7, 17, 73, 119, 511, 1241, 8687

Factors of 8692

List of positive integer factors of 8692 that divides 8692 without a remainder.

1, 2, 4, 41, 53, 82, 106, 164, 212, 2173, 4346, 8692

Least Common Multiple of 8687 and 8692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8687 and 8692, than apply into the LCM equation.

GCF(8687,8692) = 1
LCM(8687,8692) = ( 8687 × 8692) / 1
LCM(8687,8692) = 75507404 / 1
LCM(8687,8692) = 75507404

Properties of LCM 8687 and 8692

(i) The LCM of 8692 and 8687 is associative

LCM of 8687 and 8692 = LCM of 8692 and 8687

Related Least Common Multiples of 8687

Related Least Common Multiples of 8692

Frequently Asked Questions on LCM of 8687 and 8692

1. What is the LCM of 8687 and 8692?

Answer: LCM of 8687 and 8692 is 75507404.

2. What are the Factors of 8687?

Answer: Factors of 8687 are 1, 7, 17, 73, 119, 511, 1241, 8687. There are 8 integers that are factors of 8687. The greatest factor of 8687 is 8687.

3. What are the Factors of 8692?

Answer: Factors of 8692 are 1, 2, 4, 41, 53, 82, 106, 164, 212, 2173, 4346, 8692. There are 12 integers that are factors of 8692. The greatest factor of 8692 is 8692.

4. How to Find the LCM of 8687 and 8692?

Answer:

Least Common Multiple of 8687 and 8692 = 75507404

Step 1: Find the prime factorization of 8687

8687 = 7 x 17 x 73

Step 2: Find the prime factorization of 8692

8692 = 2 x 2 x 41 x 53

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

LCM = 75507404 = 2 x 2 x 7 x 17 x 41 x 53 x 73

Step 4: Therefore, the least common multiple of 8687 and 8692 is 75507404.