Least Common Multiple of 8856 and 8862

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 8862 the smallest integer that is 13080312 that is divisible by both numbers.

Least Common Multiple (LCM) of 8856 and 8862 is 13080312.

LCM(8856,8862) = 13080312

LCM of 8856 and 8862

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

LCM of:
and

Least Common Multiple of 8856 and 8862

LCM of 8856 and 8862 is 13080312

Least common multiple can be found by multiplying the highest exponent prime factors of 8856 and 8862. First we will calculate the prime factors of 8856 and 8862.

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 8862


2 8862
3 4431
7 1477
211 211
1

Prime factors of 8862 are 2, 3, 7,211. Prime factorization of 8862 in exponential form is:

8862 = 21×31×71×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 8856 and 8862.

LCM(8856,8862) = 23×33×71×411×2111
LCM(8856,8862) = 13080312

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 8862

List of positive integer factors of 8862 that divides 8862 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 211, 422, 633, 1266, 1477, 2954, 4431, 8862

Least Common Multiple of 8856 and 8862 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 8862, than apply into the LCM equation.

GCF(8856,8862) = 6
LCM(8856,8862) = ( 8856 × 8862) / 6
LCM(8856,8862) = 78481872 / 6
LCM(8856,8862) = 13080312

Properties of LCM 8856 and 8862

(i) The LCM of 8862 and 8856 is associative

LCM of 8856 and 8862 = LCM of 8862 and 8856

Related Least Common Multiples of 8856

Related Least Common Multiples of 8862

Frequently Asked Questions on LCM of 8856 and 8862

1. What is the LCM of 8856 and 8862?

Answer: LCM of 8856 and 8862 is 13080312.

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 8862?

Answer: Factors of 8862 are 1, 2, 3, 6, 7, 14, 21, 42, 211, 422, 633, 1266, 1477, 2954, 4431, 8862. There are 16 integers that are factors of 8862. The greatest factor of 8862 is 8862.

4. How to Find the LCM of 8856 and 8862?

Answer:

Least Common Multiple of 8856 and 8862 = 13080312

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 8862

8862 = 2 x 3 x 7 x 211

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

LCM = 13080312 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 41 x 211

Step 4: Therefore, the least common multiple of 8856 and 8862 is 13080312.