Least Common Multiple of 8613 and 8618

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 8618 the smallest integer that is 74226834 that is divisible by both numbers.

Least Common Multiple (LCM) of 8613 and 8618 is 74226834.

LCM(8613,8618) = 74226834

LCM of 8613 and 8618

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

LCM of:
and

Least Common Multiple of 8613 and 8618

LCM of 8613 and 8618 is 74226834

Least common multiple can be found by multiplying the highest exponent prime factors of 8613 and 8618. First we will calculate the prime factors of 8613 and 8618.

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 8618


2 8618
31 4309
139 139
1

Prime factors of 8618 are 2, 31,139. Prime factorization of 8618 in exponential form is:

8618 = 21×311×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 8613 and 8618.

LCM(8613,8618) = 21×33×111×291×311×1391
LCM(8613,8618) = 74226834

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 8618

List of positive integer factors of 8618 that divides 8618 without a remainder.

1, 2, 31, 62, 139, 278, 4309, 8618

Least Common Multiple of 8613 and 8618 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 8618, than apply into the LCM equation.

GCF(8613,8618) = 1
LCM(8613,8618) = ( 8613 × 8618) / 1
LCM(8613,8618) = 74226834 / 1
LCM(8613,8618) = 74226834

Properties of LCM 8613 and 8618

(i) The LCM of 8618 and 8613 is associative

LCM of 8613 and 8618 = LCM of 8618 and 8613

Related Least Common Multiples of 8613

Related Least Common Multiples of 8618

Frequently Asked Questions on LCM of 8613 and 8618

1. What is the LCM of 8613 and 8618?

Answer: LCM of 8613 and 8618 is 74226834.

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 8618?

Answer: Factors of 8618 are 1, 2, 31, 62, 139, 278, 4309, 8618. There are 8 integers that are factors of 8618. The greatest factor of 8618 is 8618.

4. How to Find the LCM of 8613 and 8618?

Answer:

Least Common Multiple of 8613 and 8618 = 74226834

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 8618

8618 = 2 x 31 x 139

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

LCM = 74226834 = 2 x 3 x 3 x 3 x 11 x 29 x 31 x 139

Step 4: Therefore, the least common multiple of 8613 and 8618 is 74226834.