Least Common Multiple of 8856 and 8860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8856 and 8860 the smallest integer that is 19616040 that is divisible by both numbers.

Least Common Multiple (LCM) of 8856 and 8860 is 19616040.

LCM(8856,8860) = 19616040

LCM of 8856 and 8860

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

LCM of:
and

Least Common Multiple of 8856 and 8860

LCM of 8856 and 8860 is 19616040

Least common multiple can be found by multiplying the highest exponent prime factors of 8856 and 8860. First we will calculate the prime factors of 8856 and 8860.

Prime Factorization of 8856


2 8856
2 4428
2 2214
3 1107
3 369
3 123
41 41
1

Prime factors of 8856 are 2, 3,41. Prime factorization of 8856 in exponential form is:

8856 = 23×33×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8856 and 8860.

LCM(8856,8860) = 23×33×51×411×4431
LCM(8856,8860) = 19616040

Factors of 8856

List of positive integer factors of 8856 that divides 8856 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 41, 54, 72, 82, 108, 123, 164, 216, 246, 328, 369, 492, 738, 984, 1107, 1476, 2214, 2952, 4428, 8856

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

Least Common Multiple of 8856 and 8860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8856 and 8860, than apply into the LCM equation.

GCF(8856,8860) = 4
LCM(8856,8860) = ( 8856 × 8860) / 4
LCM(8856,8860) = 78464160 / 4
LCM(8856,8860) = 19616040

Properties of LCM 8856 and 8860

(i) The LCM of 8860 and 8856 is associative

LCM of 8856 and 8860 = LCM of 8860 and 8856

Related Least Common Multiples of 8856

Related Least Common Multiples of 8860

Frequently Asked Questions on LCM of 8856 and 8860

1. What is the LCM of 8856 and 8860?

Answer: LCM of 8856 and 8860 is 19616040.

2. What are the Factors of 8856?

Answer: Factors of 8856 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 41, 54, 72, 82, 108, 123, 164, 216, 246, 328, 369, 492, 738, 984, 1107, 1476, 2214, 2952, 4428, 8856. There are 32 integers that are factors of 8856. The greatest factor of 8856 is 8856.

3. 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.

4. How to Find the LCM of 8856 and 8860?

Answer:

Least Common Multiple of 8856 and 8860 = 19616040

Step 1: Find the prime factorization of 8856

8856 = 2 x 2 x 2 x 3 x 3 x 3 x 41

Step 2: Find the prime factorization of 8860

8860 = 2 x 2 x 5 x 443

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

LCM = 19616040 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 41 x 443

Step 4: Therefore, the least common multiple of 8856 and 8860 is 19616040.