Least Common Multiple of 8613 and 8620

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 8620 the smallest integer that is 74244060 that is divisible by both numbers.

Least Common Multiple (LCM) of 8613 and 8620 is 74244060.

LCM(8613,8620) = 74244060

LCM of 8613 and 8620

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

LCM of:
and

Least Common Multiple of 8613 and 8620

LCM of 8613 and 8620 is 74244060

Least common multiple can be found by multiplying the highest exponent prime factors of 8613 and 8620. First we will calculate the prime factors of 8613 and 8620.

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 8620


2 8620
2 4310
5 2155
431 431
1

Prime factors of 8620 are 2, 5,431. Prime factorization of 8620 in exponential form is:

8620 = 22×51×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 8613 and 8620.

LCM(8613,8620) = 22×33×51×111×291×4311
LCM(8613,8620) = 74244060

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 8620

List of positive integer factors of 8620 that divides 8620 without a remainder.

1, 2, 4, 5, 10, 20, 431, 862, 1724, 2155, 4310, 8620

Least Common Multiple of 8613 and 8620 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 8620, than apply into the LCM equation.

GCF(8613,8620) = 1
LCM(8613,8620) = ( 8613 × 8620) / 1
LCM(8613,8620) = 74244060 / 1
LCM(8613,8620) = 74244060

Properties of LCM 8613 and 8620

(i) The LCM of 8620 and 8613 is associative

LCM of 8613 and 8620 = LCM of 8620 and 8613

Related Least Common Multiples of 8613

Related Least Common Multiples of 8620

Frequently Asked Questions on LCM of 8613 and 8620

1. What is the LCM of 8613 and 8620?

Answer: LCM of 8613 and 8620 is 74244060.

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 8620?

Answer: Factors of 8620 are 1, 2, 4, 5, 10, 20, 431, 862, 1724, 2155, 4310, 8620. There are 12 integers that are factors of 8620. The greatest factor of 8620 is 8620.

4. How to Find the LCM of 8613 and 8620?

Answer:

Least Common Multiple of 8613 and 8620 = 74244060

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 8620

8620 = 2 x 2 x 5 x 431

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

LCM = 74244060 = 2 x 2 x 3 x 3 x 3 x 5 x 11 x 29 x 431

Step 4: Therefore, the least common multiple of 8613 and 8620 is 74244060.