Least Common Multiple of 8860 and 8866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8860 and 8866 the smallest integer that is 39276380 that is divisible by both numbers.

Least Common Multiple (LCM) of 8860 and 8866 is 39276380.

LCM(8860,8866) = 39276380

LCM of 8860 and 8866

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

LCM of:
and

Least Common Multiple of 8860 and 8866

LCM of 8860 and 8866 is 39276380

Least common multiple can be found by multiplying the highest exponent prime factors of 8860 and 8866. First we will calculate the prime factors of 8860 and 8866.

Prime Factorization of 8860


2 8860
2 4430
5 2215
443 443
1

Prime factors of 8860 are 2, 5,443. Prime factorization of 8860 in exponential form is:

8860 = 22×51×4431

Prime Factorization of 8866


2 8866
11 4433
13 403
31 31
1

Prime factors of 8866 are 2, 11, 13,31. Prime factorization of 8866 in exponential form is:

8866 = 21×111×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 8860 and 8866.

LCM(8860,8866) = 22×51×111×131×311×4431
LCM(8860,8866) = 39276380

Factors of 8860

List of positive integer factors of 8860 that divides 8860 without a remainder.

1, 2, 4, 5, 10, 20, 443, 886, 1772, 2215, 4430, 8860

Factors of 8866

List of positive integer factors of 8866 that divides 8866 without a remainder.

1, 2, 11, 13, 22, 26, 31, 62, 143, 286, 341, 403, 682, 806, 4433, 8866

Least Common Multiple of 8860 and 8866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8860 and 8866, than apply into the LCM equation.

GCF(8860,8866) = 2
LCM(8860,8866) = ( 8860 × 8866) / 2
LCM(8860,8866) = 78552760 / 2
LCM(8860,8866) = 39276380

Properties of LCM 8860 and 8866

(i) The LCM of 8866 and 8860 is associative

LCM of 8860 and 8866 = LCM of 8866 and 8860

Related Least Common Multiples of 8860

Related Least Common Multiples of 8866

Frequently Asked Questions on LCM of 8860 and 8866

1. What is the LCM of 8860 and 8866?

Answer: LCM of 8860 and 8866 is 39276380.

2. What are the Factors of 8860?

Answer: Factors of 8860 are 1, 2, 4, 5, 10, 20, 443, 886, 1772, 2215, 4430, 8860. There are 12 integers that are factors of 8860. The greatest factor of 8860 is 8860.

3. What are the Factors of 8866?

Answer: Factors of 8866 are 1, 2, 11, 13, 22, 26, 31, 62, 143, 286, 341, 403, 682, 806, 4433, 8866. There are 16 integers that are factors of 8866. The greatest factor of 8866 is 8866.

4. How to Find the LCM of 8860 and 8866?

Answer:

Least Common Multiple of 8860 and 8866 = 39276380

Step 1: Find the prime factorization of 8860

8860 = 2 x 2 x 5 x 443

Step 2: Find the prime factorization of 8866

8866 = 2 x 11 x 13 x 31

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

LCM = 39276380 = 2 x 2 x 5 x 11 x 13 x 31 x 443

Step 4: Therefore, the least common multiple of 8860 and 8866 is 39276380.