Least Common Multiple of 8659 and 8664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8659 and 8664 the smallest integer that is 75021576 that is divisible by both numbers.

Least Common Multiple (LCM) of 8659 and 8664 is 75021576.

LCM(8659,8664) = 75021576

LCM of 8659 and 8664

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

LCM of:
and

Least Common Multiple of 8659 and 8664

LCM of 8659 and 8664 is 75021576

Least common multiple can be found by multiplying the highest exponent prime factors of 8659 and 8664. First we will calculate the prime factors of 8659 and 8664.

Prime Factorization of 8659


7 8659
1237 1237
1

Prime factors of 8659 are 7,1237. Prime factorization of 8659 in exponential form is:

8659 = 71×12371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8659 and 8664.

LCM(8659,8664) = 23×31×71×192×12371
LCM(8659,8664) = 75021576

Factors of 8659

List of positive integer factors of 8659 that divides 8659 without a remainder.

1, 7, 1237, 8659

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

Least Common Multiple of 8659 and 8664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8659 and 8664, than apply into the LCM equation.

GCF(8659,8664) = 1
LCM(8659,8664) = ( 8659 × 8664) / 1
LCM(8659,8664) = 75021576 / 1
LCM(8659,8664) = 75021576

Properties of LCM 8659 and 8664

(i) The LCM of 8664 and 8659 is associative

LCM of 8659 and 8664 = LCM of 8664 and 8659

Related Least Common Multiples of 8659

Related Least Common Multiples of 8664

Frequently Asked Questions on LCM of 8659 and 8664

1. What is the LCM of 8659 and 8664?

Answer: LCM of 8659 and 8664 is 75021576.

2. What are the Factors of 8659?

Answer: Factors of 8659 are 1, 7, 1237, 8659. There are 4 integers that are factors of 8659. The greatest factor of 8659 is 8659.

3. 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.

4. How to Find the LCM of 8659 and 8664?

Answer:

Least Common Multiple of 8659 and 8664 = 75021576

Step 1: Find the prime factorization of 8659

8659 = 7 x 1237

Step 2: Find the prime factorization of 8664

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

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

LCM = 75021576 = 2 x 2 x 2 x 3 x 7 x 19 x 19 x 1237

Step 4: Therefore, the least common multiple of 8659 and 8664 is 75021576.