Least Common Multiple of 8800 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 8800 and 8806 the smallest integer that is 38746400 that is divisible by both numbers.

Least Common Multiple (LCM) of 8800 and 8806 is 38746400.

LCM(8800,8806) = 38746400

LCM of 8800 and 8806

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

LCM of:
and

Least Common Multiple of 8800 and 8806

LCM of 8800 and 8806 is 38746400

Least common multiple can be found by multiplying the highest exponent prime factors of 8800 and 8806. First we will calculate the prime factors of 8800 and 8806.

Prime Factorization of 8800


2 8800
2 4400
2 2200
2 1100
2 550
5 275
5 55
11 11
1

Prime factors of 8800 are 2, 5,11. Prime factorization of 8800 in exponential form is:

8800 = 25×52×111

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 8800 and 8806.

LCM(8800,8806) = 25×52×71×111×171×371
LCM(8800,8806) = 38746400

Factors of 8800

List of positive integer factors of 8800 that divides 8800 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 160, 176, 200, 220, 275, 352, 400, 440, 550, 800, 880, 1100, 1760, 2200, 4400, 8800

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 8800 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 8800 and 8806, than apply into the LCM equation.

GCF(8800,8806) = 2
LCM(8800,8806) = ( 8800 × 8806) / 2
LCM(8800,8806) = 77492800 / 2
LCM(8800,8806) = 38746400

Properties of LCM 8800 and 8806

(i) The LCM of 8806 and 8800 is associative

LCM of 8800 and 8806 = LCM of 8806 and 8800

Related Least Common Multiples of 8800

Related Least Common Multiples of 8806

Frequently Asked Questions on LCM of 8800 and 8806

1. What is the LCM of 8800 and 8806?

Answer: LCM of 8800 and 8806 is 38746400.

2. What are the Factors of 8800?

Answer: Factors of 8800 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 160, 176, 200, 220, 275, 352, 400, 440, 550, 800, 880, 1100, 1760, 2200, 4400, 8800. There are 36 integers that are factors of 8800. The greatest factor of 8800 is 8800.

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 8800 and 8806?

Answer:

Least Common Multiple of 8800 and 8806 = 38746400

Step 1: Find the prime factorization of 8800

8800 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 11

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 = 38746400 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 11 x 17 x 37

Step 4: Therefore, the least common multiple of 8800 and 8806 is 38746400.