Least Common Multiple of 8853 and 8856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8853 and 8856 the smallest integer that is 26134056 that is divisible by both numbers.

Least Common Multiple (LCM) of 8853 and 8856 is 26134056.

LCM(8853,8856) = 26134056

LCM of 8853 and 8856

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

LCM of:
and

Least Common Multiple of 8853 and 8856

LCM of 8853 and 8856 is 26134056

Least common multiple can be found by multiplying the highest exponent prime factors of 8853 and 8856. First we will calculate the prime factors of 8853 and 8856.

Prime Factorization of 8853


3 8853
13 2951
227 227
1

Prime factors of 8853 are 3, 13,227. Prime factorization of 8853 in exponential form is:

8853 = 31×131×2271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8853 and 8856.

LCM(8853,8856) = 23×33×131×411×2271
LCM(8853,8856) = 26134056

Factors of 8853

List of positive integer factors of 8853 that divides 8853 without a remainder.

1, 3, 13, 39, 227, 681, 2951, 8853

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

Least Common Multiple of 8853 and 8856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8853 and 8856, than apply into the LCM equation.

GCF(8853,8856) = 3
LCM(8853,8856) = ( 8853 × 8856) / 3
LCM(8853,8856) = 78402168 / 3
LCM(8853,8856) = 26134056

Properties of LCM 8853 and 8856

(i) The LCM of 8856 and 8853 is associative

LCM of 8853 and 8856 = LCM of 8856 and 8853

Related Least Common Multiples of 8853

Related Least Common Multiples of 8856

Frequently Asked Questions on LCM of 8853 and 8856

1. What is the LCM of 8853 and 8856?

Answer: LCM of 8853 and 8856 is 26134056.

2. What are the Factors of 8853?

Answer: Factors of 8853 are 1, 3, 13, 39, 227, 681, 2951, 8853. There are 8 integers that are factors of 8853. The greatest factor of 8853 is 8853.

3. 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.

4. How to Find the LCM of 8853 and 8856?

Answer:

Least Common Multiple of 8853 and 8856 = 26134056

Step 1: Find the prime factorization of 8853

8853 = 3 x 13 x 227

Step 2: Find the prime factorization of 8856

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

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

LCM = 26134056 = 2 x 2 x 2 x 3 x 3 x 3 x 13 x 41 x 227

Step 4: Therefore, the least common multiple of 8853 and 8856 is 26134056.