Least Common Multiple of 8606 and 8613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8606 and 8613 the smallest integer that is 74123478 that is divisible by both numbers.

Least Common Multiple (LCM) of 8606 and 8613 is 74123478.

LCM(8606,8613) = 74123478

LCM of 8606 and 8613

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

LCM of:
and

Least Common Multiple of 8606 and 8613

LCM of 8606 and 8613 is 74123478

Least common multiple can be found by multiplying the highest exponent prime factors of 8606 and 8613. First we will calculate the prime factors of 8606 and 8613.

Prime Factorization of 8606


2 8606
13 4303
331 331
1

Prime factors of 8606 are 2, 13,331. Prime factorization of 8606 in exponential form is:

8606 = 21×131×3311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8606 and 8613.

LCM(8606,8613) = 21×33×111×131×291×3311
LCM(8606,8613) = 74123478

Factors of 8606

List of positive integer factors of 8606 that divides 8606 without a remainder.

1, 2, 13, 26, 331, 662, 4303, 8606

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

Least Common Multiple of 8606 and 8613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8606 and 8613, than apply into the LCM equation.

GCF(8606,8613) = 1
LCM(8606,8613) = ( 8606 × 8613) / 1
LCM(8606,8613) = 74123478 / 1
LCM(8606,8613) = 74123478

Properties of LCM 8606 and 8613

(i) The LCM of 8613 and 8606 is associative

LCM of 8606 and 8613 = LCM of 8613 and 8606

Related Least Common Multiples of 8606

Related Least Common Multiples of 8613

Frequently Asked Questions on LCM of 8606 and 8613

1. What is the LCM of 8606 and 8613?

Answer: LCM of 8606 and 8613 is 74123478.

2. What are the Factors of 8606?

Answer: Factors of 8606 are 1, 2, 13, 26, 331, 662, 4303, 8606. There are 8 integers that are factors of 8606. The greatest factor of 8606 is 8606.

3. 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.

4. How to Find the LCM of 8606 and 8613?

Answer:

Least Common Multiple of 8606 and 8613 = 74123478

Step 1: Find the prime factorization of 8606

8606 = 2 x 13 x 331

Step 2: Find the prime factorization of 8613

8613 = 3 x 3 x 3 x 11 x 29

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

LCM = 74123478 = 2 x 3 x 3 x 3 x 11 x 13 x 29 x 331

Step 4: Therefore, the least common multiple of 8606 and 8613 is 74123478.