Least Common Multiple of 8684 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 8684 and 8692 the smallest integer that is 18870332 that is divisible by both numbers.

Least Common Multiple (LCM) of 8684 and 8692 is 18870332.

LCM(8684,8692) = 18870332

LCM of 8684 and 8692

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

LCM of:
and

Least Common Multiple of 8684 and 8692

LCM of 8684 and 8692 is 18870332

Least common multiple can be found by multiplying the highest exponent prime factors of 8684 and 8692. First we will calculate the prime factors of 8684 and 8692.

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 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 8684 and 8692.

LCM(8684,8692) = 22×131×411×531×1671
LCM(8684,8692) = 18870332

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 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 8684 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 8684 and 8692, than apply into the LCM equation.

GCF(8684,8692) = 4
LCM(8684,8692) = ( 8684 × 8692) / 4
LCM(8684,8692) = 75481328 / 4
LCM(8684,8692) = 18870332

Properties of LCM 8684 and 8692

(i) The LCM of 8692 and 8684 is associative

LCM of 8684 and 8692 = LCM of 8692 and 8684

Related Least Common Multiples of 8684

Related Least Common Multiples of 8692

Frequently Asked Questions on LCM of 8684 and 8692

1. What is the LCM of 8684 and 8692?

Answer: LCM of 8684 and 8692 is 18870332.

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 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 8684 and 8692?

Answer:

Least Common Multiple of 8684 and 8692 = 18870332

Step 1: Find the prime factorization of 8684

8684 = 2 x 2 x 13 x 167

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 = 18870332 = 2 x 2 x 13 x 41 x 53 x 167

Step 4: Therefore, the least common multiple of 8684 and 8692 is 18870332.