Least Common Multiple of 8800 and 8805

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 8805 the smallest integer that is 15496800 that is divisible by both numbers.

Least Common Multiple (LCM) of 8800 and 8805 is 15496800.

LCM(8800,8805) = 15496800

LCM of 8800 and 8805

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

LCM of:
and

Least Common Multiple of 8800 and 8805

LCM of 8800 and 8805 is 15496800

Least common multiple can be found by multiplying the highest exponent prime factors of 8800 and 8805. First we will calculate the prime factors of 8800 and 8805.

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 8805


3 8805
5 2935
587 587
1

Prime factors of 8805 are 3, 5,587. Prime factorization of 8805 in exponential form is:

8805 = 31×51×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 8800 and 8805.

LCM(8800,8805) = 25×31×52×111×5871
LCM(8800,8805) = 15496800

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 8805

List of positive integer factors of 8805 that divides 8805 without a remainder.

1, 3, 5, 15, 587, 1761, 2935, 8805

Least Common Multiple of 8800 and 8805 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 8805, than apply into the LCM equation.

GCF(8800,8805) = 5
LCM(8800,8805) = ( 8800 × 8805) / 5
LCM(8800,8805) = 77484000 / 5
LCM(8800,8805) = 15496800

Properties of LCM 8800 and 8805

(i) The LCM of 8805 and 8800 is associative

LCM of 8800 and 8805 = LCM of 8805 and 8800

Related Least Common Multiples of 8800

Related Least Common Multiples of 8805

Frequently Asked Questions on LCM of 8800 and 8805

1. What is the LCM of 8800 and 8805?

Answer: LCM of 8800 and 8805 is 15496800.

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 8805?

Answer: Factors of 8805 are 1, 3, 5, 15, 587, 1761, 2935, 8805. There are 8 integers that are factors of 8805. The greatest factor of 8805 is 8805.

4. How to Find the LCM of 8800 and 8805?

Answer:

Least Common Multiple of 8800 and 8805 = 15496800

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 8805

8805 = 3 x 5 x 587

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

LCM = 15496800 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11 x 587

Step 4: Therefore, the least common multiple of 8800 and 8805 is 15496800.