Least Common Multiple of 8655 and 8658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8655 and 8658 the smallest integer that is 24978330 that is divisible by both numbers.

Least Common Multiple (LCM) of 8655 and 8658 is 24978330.

LCM(8655,8658) = 24978330

LCM of 8655 and 8658

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

LCM of:
and

Least Common Multiple of 8655 and 8658

LCM of 8655 and 8658 is 24978330

Least common multiple can be found by multiplying the highest exponent prime factors of 8655 and 8658. First we will calculate the prime factors of 8655 and 8658.

Prime Factorization of 8655


3 8655
5 2885
577 577
1

Prime factors of 8655 are 3, 5,577. Prime factorization of 8655 in exponential form is:

8655 = 31×51×5771

Prime Factorization of 8658


2 8658
3 4329
3 1443
13 481
37 37
1

Prime factors of 8658 are 2, 3, 13,37. Prime factorization of 8658 in exponential form is:

8658 = 21×32×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 8655 and 8658.

LCM(8655,8658) = 21×32×51×131×371×5771
LCM(8655,8658) = 24978330

Factors of 8655

List of positive integer factors of 8655 that divides 8655 without a remainder.

1, 3, 5, 15, 577, 1731, 2885, 8655

Factors of 8658

List of positive integer factors of 8658 that divides 8658 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658

Least Common Multiple of 8655 and 8658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8655 and 8658, than apply into the LCM equation.

GCF(8655,8658) = 3
LCM(8655,8658) = ( 8655 × 8658) / 3
LCM(8655,8658) = 74934990 / 3
LCM(8655,8658) = 24978330

Properties of LCM 8655 and 8658

(i) The LCM of 8658 and 8655 is associative

LCM of 8655 and 8658 = LCM of 8658 and 8655

Related Least Common Multiples of 8655

Related Least Common Multiples of 8658

Frequently Asked Questions on LCM of 8655 and 8658

1. What is the LCM of 8655 and 8658?

Answer: LCM of 8655 and 8658 is 24978330.

2. What are the Factors of 8655?

Answer: Factors of 8655 are 1, 3, 5, 15, 577, 1731, 2885, 8655. There are 8 integers that are factors of 8655. The greatest factor of 8655 is 8655.

3. What are the Factors of 8658?

Answer: Factors of 8658 are 1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658. There are 24 integers that are factors of 8658. The greatest factor of 8658 is 8658.

4. How to Find the LCM of 8655 and 8658?

Answer:

Least Common Multiple of 8655 and 8658 = 24978330

Step 1: Find the prime factorization of 8655

8655 = 3 x 5 x 577

Step 2: Find the prime factorization of 8658

8658 = 2 x 3 x 3 x 13 x 37

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

LCM = 24978330 = 2 x 3 x 3 x 5 x 13 x 37 x 577

Step 4: Therefore, the least common multiple of 8655 and 8658 is 24978330.