Least Common Multiple of 8664 and 8669

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 8669 the smallest integer that is 75108216 that is divisible by both numbers.

Least Common Multiple (LCM) of 8664 and 8669 is 75108216.

LCM(8664,8669) = 75108216

LCM of 8664 and 8669

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

LCM of:
and

Least Common Multiple of 8664 and 8669

LCM of 8664 and 8669 is 75108216

Least common multiple can be found by multiplying the highest exponent prime factors of 8664 and 8669. First we will calculate the prime factors of 8664 and 8669.

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 8669


8669 8669
1

Prime factors of 8669 are 8669. Prime factorization of 8669 in exponential form is:

8669 = 86691

Now multiplying the highest exponent prime factors to calculate the LCM of 8664 and 8669.

LCM(8664,8669) = 23×31×192×86691
LCM(8664,8669) = 75108216

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 8669

List of positive integer factors of 8669 that divides 8669 without a remainder.

1, 8669

Least Common Multiple of 8664 and 8669 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 8669, than apply into the LCM equation.

GCF(8664,8669) = 1
LCM(8664,8669) = ( 8664 × 8669) / 1
LCM(8664,8669) = 75108216 / 1
LCM(8664,8669) = 75108216

Properties of LCM 8664 and 8669

(i) The LCM of 8669 and 8664 is associative

LCM of 8664 and 8669 = LCM of 8669 and 8664

Related Least Common Multiples of 8664

Related Least Common Multiples of 8669

Frequently Asked Questions on LCM of 8664 and 8669

1. What is the LCM of 8664 and 8669?

Answer: LCM of 8664 and 8669 is 75108216.

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 8669?

Answer: Factors of 8669 are 1, 8669. There are 2 integers that are factors of 8669. The greatest factor of 8669 is 8669.

4. How to Find the LCM of 8664 and 8669?

Answer:

Least Common Multiple of 8664 and 8669 = 75108216

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 8669

8669 = 8669

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

LCM = 75108216 = 2 x 2 x 2 x 3 x 19 x 19 x 8669

Step 4: Therefore, the least common multiple of 8664 and 8669 is 75108216.