Least Common Multiple of 8804 and 8806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8804 and 8806 the smallest integer that is 38764012 that is divisible by both numbers.

Least Common Multiple (LCM) of 8804 and 8806 is 38764012.

LCM(8804,8806) = 38764012

LCM of 8804 and 8806

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

LCM of:
and

Least Common Multiple of 8804 and 8806

LCM of 8804 and 8806 is 38764012

Least common multiple can be found by multiplying the highest exponent prime factors of 8804 and 8806. First we will calculate the prime factors of 8804 and 8806.

Prime Factorization of 8804


2 8804
2 4402
31 2201
71 71
1

Prime factors of 8804 are 2, 31,71. Prime factorization of 8804 in exponential form is:

8804 = 22×311×711

Prime Factorization of 8806


2 8806
7 4403
17 629
37 37
1

Prime factors of 8806 are 2, 7, 17,37. Prime factorization of 8806 in exponential form is:

8806 = 21×71×171×371

Now multiplying the highest exponent prime factors to calculate the LCM of 8804 and 8806.

LCM(8804,8806) = 22×71×171×311×371×711
LCM(8804,8806) = 38764012

Factors of 8804

List of positive integer factors of 8804 that divides 8804 without a remainder.

1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402, 8804

Factors of 8806

List of positive integer factors of 8806 that divides 8806 without a remainder.

1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403, 8806

Least Common Multiple of 8804 and 8806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8804 and 8806, than apply into the LCM equation.

GCF(8804,8806) = 2
LCM(8804,8806) = ( 8804 × 8806) / 2
LCM(8804,8806) = 77528024 / 2
LCM(8804,8806) = 38764012

Properties of LCM 8804 and 8806

(i) The LCM of 8806 and 8804 is associative

LCM of 8804 and 8806 = LCM of 8806 and 8804

Related Least Common Multiples of 8804

Related Least Common Multiples of 8806

Frequently Asked Questions on LCM of 8804 and 8806

1. What is the LCM of 8804 and 8806?

Answer: LCM of 8804 and 8806 is 38764012.

2. What are the Factors of 8804?

Answer: Factors of 8804 are 1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402, 8804. There are 12 integers that are factors of 8804. The greatest factor of 8804 is 8804.

3. What are the Factors of 8806?

Answer: Factors of 8806 are 1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403, 8806. There are 16 integers that are factors of 8806. The greatest factor of 8806 is 8806.

4. How to Find the LCM of 8804 and 8806?

Answer:

Least Common Multiple of 8804 and 8806 = 38764012

Step 1: Find the prime factorization of 8804

8804 = 2 x 2 x 31 x 71

Step 2: Find the prime factorization of 8806

8806 = 2 x 7 x 17 x 37

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

LCM = 38764012 = 2 x 2 x 7 x 17 x 31 x 37 x 71

Step 4: Therefore, the least common multiple of 8804 and 8806 is 38764012.