Least Common Multiple of 8800 and 8804

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 8804 the smallest integer that is 19368800 that is divisible by both numbers.

Least Common Multiple (LCM) of 8800 and 8804 is 19368800.

LCM(8800,8804) = 19368800

LCM of 8800 and 8804

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

LCM of:
and

Least Common Multiple of 8800 and 8804

LCM of 8800 and 8804 is 19368800

Least common multiple can be found by multiplying the highest exponent prime factors of 8800 and 8804. First we will calculate the prime factors of 8800 and 8804.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8800 and 8804.

LCM(8800,8804) = 25×52×111×311×711
LCM(8800,8804) = 19368800

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 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

Least Common Multiple of 8800 and 8804 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 8804, than apply into the LCM equation.

GCF(8800,8804) = 4
LCM(8800,8804) = ( 8800 × 8804) / 4
LCM(8800,8804) = 77475200 / 4
LCM(8800,8804) = 19368800

Properties of LCM 8800 and 8804

(i) The LCM of 8804 and 8800 is associative

LCM of 8800 and 8804 = LCM of 8804 and 8800

Related Least Common Multiples of 8800

Related Least Common Multiples of 8804

Frequently Asked Questions on LCM of 8800 and 8804

1. What is the LCM of 8800 and 8804?

Answer: LCM of 8800 and 8804 is 19368800.

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 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.

4. How to Find the LCM of 8800 and 8804?

Answer:

Least Common Multiple of 8800 and 8804 = 19368800

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 8804

8804 = 2 x 2 x 31 x 71

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

LCM = 19368800 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 11 x 31 x 71

Step 4: Therefore, the least common multiple of 8800 and 8804 is 19368800.