Least Common Multiple of 8664 and 8671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8664 and 8671 the smallest integer that is 75125544 that is divisible by both numbers.

Least Common Multiple (LCM) of 8664 and 8671 is 75125544.

LCM(8664,8671) = 75125544

LCM of 8664 and 8671

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

LCM of:
and

Least Common Multiple of 8664 and 8671

LCM of 8664 and 8671 is 75125544

Least common multiple can be found by multiplying the highest exponent prime factors of 8664 and 8671. First we will calculate the prime factors of 8664 and 8671.

Prime Factorization of 8664


2 8664
2 4332
2 2166
3 1083
19 361
19 19
1

Prime factors of 8664 are 2, 3,19. Prime factorization of 8664 in exponential form is:

8664 = 23×31×192

Prime Factorization of 8671


13 8671
23 667
29 29
1

Prime factors of 8671 are 13, 23,29. Prime factorization of 8671 in exponential form is:

8671 = 131×231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 8664 and 8671.

LCM(8664,8671) = 23×31×131×192×231×291
LCM(8664,8671) = 75125544

Factors of 8664

List of positive integer factors of 8664 that divides 8664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 361, 456, 722, 1083, 1444, 2166, 2888, 4332, 8664

Factors of 8671

List of positive integer factors of 8671 that divides 8671 without a remainder.

1, 13, 23, 29, 299, 377, 667, 8671

Least Common Multiple of 8664 and 8671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8664 and 8671, than apply into the LCM equation.

GCF(8664,8671) = 1
LCM(8664,8671) = ( 8664 × 8671) / 1
LCM(8664,8671) = 75125544 / 1
LCM(8664,8671) = 75125544

Properties of LCM 8664 and 8671

(i) The LCM of 8671 and 8664 is associative

LCM of 8664 and 8671 = LCM of 8671 and 8664

Related Least Common Multiples of 8664

Related Least Common Multiples of 8671

Frequently Asked Questions on LCM of 8664 and 8671

1. What is the LCM of 8664 and 8671?

Answer: LCM of 8664 and 8671 is 75125544.

2. What are the Factors of 8664?

Answer: Factors of 8664 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 361, 456, 722, 1083, 1444, 2166, 2888, 4332, 8664. There are 24 integers that are factors of 8664. The greatest factor of 8664 is 8664.

3. What are the Factors of 8671?

Answer: Factors of 8671 are 1, 13, 23, 29, 299, 377, 667, 8671. There are 8 integers that are factors of 8671. The greatest factor of 8671 is 8671.

4. How to Find the LCM of 8664 and 8671?

Answer:

Least Common Multiple of 8664 and 8671 = 75125544

Step 1: Find the prime factorization of 8664

8664 = 2 x 2 x 2 x 3 x 19 x 19

Step 2: Find the prime factorization of 8671

8671 = 13 x 23 x 29

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

LCM = 75125544 = 2 x 2 x 2 x 3 x 13 x 19 x 19 x 23 x 29

Step 4: Therefore, the least common multiple of 8664 and 8671 is 75125544.