Least Common Multiple of 8613 and 8619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8613 and 8619 the smallest integer that is 24745149 that is divisible by both numbers.

Least Common Multiple (LCM) of 8613 and 8619 is 24745149.

LCM(8613,8619) = 24745149

LCM of 8613 and 8619

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

LCM of:
and

Least Common Multiple of 8613 and 8619

LCM of 8613 and 8619 is 24745149

Least common multiple can be found by multiplying the highest exponent prime factors of 8613 and 8619. First we will calculate the prime factors of 8613 and 8619.

Prime Factorization of 8613


3 8613
3 2871
3 957
11 319
29 29
1

Prime factors of 8613 are 3, 11,29. Prime factorization of 8613 in exponential form is:

8613 = 33×111×291

Prime Factorization of 8619


3 8619
13 2873
13 221
17 17
1

Prime factors of 8619 are 3, 13,17. Prime factorization of 8619 in exponential form is:

8619 = 31×132×171

Now multiplying the highest exponent prime factors to calculate the LCM of 8613 and 8619.

LCM(8613,8619) = 33×111×132×171×291
LCM(8613,8619) = 24745149

Factors of 8613

List of positive integer factors of 8613 that divides 8613 without a remainder.

1, 3, 9, 11, 27, 29, 33, 87, 99, 261, 297, 319, 783, 957, 2871, 8613

Factors of 8619

List of positive integer factors of 8619 that divides 8619 without a remainder.

1, 3, 13, 17, 39, 51, 169, 221, 507, 663, 2873, 8619

Least Common Multiple of 8613 and 8619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8613 and 8619, than apply into the LCM equation.

GCF(8613,8619) = 3
LCM(8613,8619) = ( 8613 × 8619) / 3
LCM(8613,8619) = 74235447 / 3
LCM(8613,8619) = 24745149

Properties of LCM 8613 and 8619

(i) The LCM of 8619 and 8613 is associative

LCM of 8613 and 8619 = LCM of 8619 and 8613

Related Least Common Multiples of 8613

Related Least Common Multiples of 8619

Frequently Asked Questions on LCM of 8613 and 8619

1. What is the LCM of 8613 and 8619?

Answer: LCM of 8613 and 8619 is 24745149.

2. What are the Factors of 8613?

Answer: Factors of 8613 are 1, 3, 9, 11, 27, 29, 33, 87, 99, 261, 297, 319, 783, 957, 2871, 8613. There are 16 integers that are factors of 8613. The greatest factor of 8613 is 8613.

3. What are the Factors of 8619?

Answer: Factors of 8619 are 1, 3, 13, 17, 39, 51, 169, 221, 507, 663, 2873, 8619. There are 12 integers that are factors of 8619. The greatest factor of 8619 is 8619.

4. How to Find the LCM of 8613 and 8619?

Answer:

Least Common Multiple of 8613 and 8619 = 24745149

Step 1: Find the prime factorization of 8613

8613 = 3 x 3 x 3 x 11 x 29

Step 2: Find the prime factorization of 8619

8619 = 3 x 13 x 13 x 17

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

LCM = 24745149 = 3 x 3 x 3 x 11 x 13 x 13 x 17 x 29

Step 4: Therefore, the least common multiple of 8613 and 8619 is 24745149.