Least Common Multiple of 8644 and 8645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8644 and 8645 the smallest integer that is 74727380 that is divisible by both numbers.

Least Common Multiple (LCM) of 8644 and 8645 is 74727380.

LCM(8644,8645) = 74727380

LCM of 8644 and 8645

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

LCM of:
and

Least Common Multiple of 8644 and 8645

LCM of 8644 and 8645 is 74727380

Least common multiple can be found by multiplying the highest exponent prime factors of 8644 and 8645. First we will calculate the prime factors of 8644 and 8645.

Prime Factorization of 8644


2 8644
2 4322
2161 2161
1

Prime factors of 8644 are 2,2161. Prime factorization of 8644 in exponential form is:

8644 = 22×21611

Prime Factorization of 8645


5 8645
7 1729
13 247
19 19
1

Prime factors of 8645 are 5, 7, 13,19. Prime factorization of 8645 in exponential form is:

8645 = 51×71×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 8644 and 8645.

LCM(8644,8645) = 22×51×71×131×191×21611
LCM(8644,8645) = 74727380

Factors of 8644

List of positive integer factors of 8644 that divides 8644 without a remainder.

1, 2, 4, 2161, 4322, 8644

Factors of 8645

List of positive integer factors of 8645 that divides 8645 without a remainder.

1, 5, 7, 13, 19, 35, 65, 91, 95, 133, 247, 455, 665, 1235, 1729, 8645

Least Common Multiple of 8644 and 8645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8644 and 8645, than apply into the LCM equation.

GCF(8644,8645) = 1
LCM(8644,8645) = ( 8644 × 8645) / 1
LCM(8644,8645) = 74727380 / 1
LCM(8644,8645) = 74727380

Properties of LCM 8644 and 8645

(i) The LCM of 8645 and 8644 is associative

LCM of 8644 and 8645 = LCM of 8645 and 8644

Related Least Common Multiples of 8644

Related Least Common Multiples of 8645

Frequently Asked Questions on LCM of 8644 and 8645

1. What is the LCM of 8644 and 8645?

Answer: LCM of 8644 and 8645 is 74727380.

2. What are the Factors of 8644?

Answer: Factors of 8644 are 1, 2, 4, 2161, 4322, 8644. There are 6 integers that are factors of 8644. The greatest factor of 8644 is 8644.

3. What are the Factors of 8645?

Answer: Factors of 8645 are 1, 5, 7, 13, 19, 35, 65, 91, 95, 133, 247, 455, 665, 1235, 1729, 8645. There are 16 integers that are factors of 8645. The greatest factor of 8645 is 8645.

4. How to Find the LCM of 8644 and 8645?

Answer:

Least Common Multiple of 8644 and 8645 = 74727380

Step 1: Find the prime factorization of 8644

8644 = 2 x 2 x 2161

Step 2: Find the prime factorization of 8645

8645 = 5 x 7 x 13 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 = 74727380 = 2 x 2 x 5 x 7 x 13 x 19 x 2161

Step 4: Therefore, the least common multiple of 8644 and 8645 is 74727380.