Least Common Multiple of 8862 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 8862 and 8866 the smallest integer that is 39285246 that is divisible by both numbers.

Least Common Multiple (LCM) of 8862 and 8866 is 39285246.

LCM(8862,8866) = 39285246

LCM of 8862 and 8866

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

LCM of:
and

Least Common Multiple of 8862 and 8866

LCM of 8862 and 8866 is 39285246

Least common multiple can be found by multiplying the highest exponent prime factors of 8862 and 8866. First we will calculate the prime factors of 8862 and 8866.

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

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 8862 and 8866.

LCM(8862,8866) = 21×31×71×111×131×311×2111
LCM(8862,8866) = 39285246

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

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 8862 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 8862 and 8866, than apply into the LCM equation.

GCF(8862,8866) = 2
LCM(8862,8866) = ( 8862 × 8866) / 2
LCM(8862,8866) = 78570492 / 2
LCM(8862,8866) = 39285246

Properties of LCM 8862 and 8866

(i) The LCM of 8866 and 8862 is associative

LCM of 8862 and 8866 = LCM of 8866 and 8862

Related Least Common Multiples of 8862

Related Least Common Multiples of 8866

Frequently Asked Questions on LCM of 8862 and 8866

1. What is the LCM of 8862 and 8866?

Answer: LCM of 8862 and 8866 is 39285246.

2. 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.

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 8862 and 8866?

Answer:

Least Common Multiple of 8862 and 8866 = 39285246

Step 1: Find the prime factorization of 8862

8862 = 2 x 3 x 7 x 211

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 = 39285246 = 2 x 3 x 7 x 11 x 13 x 31 x 211

Step 4: Therefore, the least common multiple of 8862 and 8866 is 39285246.