Least Common Multiple of 8656 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 8656 and 8664 the smallest integer that is 9374448 that is divisible by both numbers.

Least Common Multiple (LCM) of 8656 and 8664 is 9374448.

LCM(8656,8664) = 9374448

LCM of 8656 and 8664

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

LCM of:
and

Least Common Multiple of 8656 and 8664

LCM of 8656 and 8664 is 9374448

Least common multiple can be found by multiplying the highest exponent prime factors of 8656 and 8664. First we will calculate the prime factors of 8656 and 8664.

Prime Factorization of 8656


2 8656
2 4328
2 2164
2 1082
541 541
1

Prime factors of 8656 are 2,541. Prime factorization of 8656 in exponential form is:

8656 = 24×5411

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 8656 and 8664.

LCM(8656,8664) = 24×31×192×5411
LCM(8656,8664) = 9374448

Factors of 8656

List of positive integer factors of 8656 that divides 8656 without a remainder.

1, 2, 4, 8, 16, 541, 1082, 2164, 4328, 8656

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 8656 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 8656 and 8664, than apply into the LCM equation.

GCF(8656,8664) = 8
LCM(8656,8664) = ( 8656 × 8664) / 8
LCM(8656,8664) = 74995584 / 8
LCM(8656,8664) = 9374448

Properties of LCM 8656 and 8664

(i) The LCM of 8664 and 8656 is associative

LCM of 8656 and 8664 = LCM of 8664 and 8656

Related Least Common Multiples of 8656

Related Least Common Multiples of 8664

Frequently Asked Questions on LCM of 8656 and 8664

1. What is the LCM of 8656 and 8664?

Answer: LCM of 8656 and 8664 is 9374448.

2. What are the Factors of 8656?

Answer: Factors of 8656 are 1, 2, 4, 8, 16, 541, 1082, 2164, 4328, 8656. There are 10 integers that are factors of 8656. The greatest factor of 8656 is 8656.

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 8656 and 8664?

Answer:

Least Common Multiple of 8656 and 8664 = 9374448

Step 1: Find the prime factorization of 8656

8656 = 2 x 2 x 2 x 2 x 541

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 = 9374448 = 2 x 2 x 2 x 2 x 3 x 19 x 19 x 541

Step 4: Therefore, the least common multiple of 8656 and 8664 is 9374448.