Least Common Multiple of 8800 and 8808

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 8808 the smallest integer that is 9688800 that is divisible by both numbers.

Least Common Multiple (LCM) of 8800 and 8808 is 9688800.

LCM(8800,8808) = 9688800

LCM of 8800 and 8808

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

LCM of:
and

Least Common Multiple of 8800 and 8808

LCM of 8800 and 8808 is 9688800

Least common multiple can be found by multiplying the highest exponent prime factors of 8800 and 8808. First we will calculate the prime factors of 8800 and 8808.

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 8808


2 8808
2 4404
2 2202
3 1101
367 367
1

Prime factors of 8808 are 2, 3,367. Prime factorization of 8808 in exponential form is:

8808 = 23×31×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 8800 and 8808.

LCM(8800,8808) = 25×31×52×111×3671
LCM(8800,8808) = 9688800

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 8808

List of positive integer factors of 8808 that divides 8808 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 367, 734, 1101, 1468, 2202, 2936, 4404, 8808

Least Common Multiple of 8800 and 8808 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 8808, than apply into the LCM equation.

GCF(8800,8808) = 8
LCM(8800,8808) = ( 8800 × 8808) / 8
LCM(8800,8808) = 77510400 / 8
LCM(8800,8808) = 9688800

Properties of LCM 8800 and 8808

(i) The LCM of 8808 and 8800 is associative

LCM of 8800 and 8808 = LCM of 8808 and 8800

Related Least Common Multiples of 8800

Related Least Common Multiples of 8808

Frequently Asked Questions on LCM of 8800 and 8808

1. What is the LCM of 8800 and 8808?

Answer: LCM of 8800 and 8808 is 9688800.

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 8808?

Answer: Factors of 8808 are 1, 2, 3, 4, 6, 8, 12, 24, 367, 734, 1101, 1468, 2202, 2936, 4404, 8808. There are 16 integers that are factors of 8808. The greatest factor of 8808 is 8808.

4. How to Find the LCM of 8800 and 8808?

Answer:

Least Common Multiple of 8800 and 8808 = 9688800

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 8808

8808 = 2 x 2 x 2 x 3 x 367

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

LCM = 9688800 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11 x 367

Step 4: Therefore, the least common multiple of 8800 and 8808 is 9688800.