Least Common Multiple of 8800 and 8807

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 8807 the smallest integer that is 77501600 that is divisible by both numbers.

Least Common Multiple (LCM) of 8800 and 8807 is 77501600.

LCM(8800,8807) = 77501600

LCM of 8800 and 8807

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

LCM of:
and

Least Common Multiple of 8800 and 8807

LCM of 8800 and 8807 is 77501600

Least common multiple can be found by multiplying the highest exponent prime factors of 8800 and 8807. First we will calculate the prime factors of 8800 and 8807.

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 8807


8807 8807
1

Prime factors of 8807 are 8807. Prime factorization of 8807 in exponential form is:

8807 = 88071

Now multiplying the highest exponent prime factors to calculate the LCM of 8800 and 8807.

LCM(8800,8807) = 25×52×111×88071
LCM(8800,8807) = 77501600

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 8807

List of positive integer factors of 8807 that divides 8807 without a remainder.

1, 8807

Least Common Multiple of 8800 and 8807 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 8807, than apply into the LCM equation.

GCF(8800,8807) = 1
LCM(8800,8807) = ( 8800 × 8807) / 1
LCM(8800,8807) = 77501600 / 1
LCM(8800,8807) = 77501600

Properties of LCM 8800 and 8807

(i) The LCM of 8807 and 8800 is associative

LCM of 8800 and 8807 = LCM of 8807 and 8800

Related Least Common Multiples of 8800

Related Least Common Multiples of 8807

Frequently Asked Questions on LCM of 8800 and 8807

1. What is the LCM of 8800 and 8807?

Answer: LCM of 8800 and 8807 is 77501600.

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 8807?

Answer: Factors of 8807 are 1, 8807. There are 2 integers that are factors of 8807. The greatest factor of 8807 is 8807.

4. How to Find the LCM of 8800 and 8807?

Answer:

Least Common Multiple of 8800 and 8807 = 77501600

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 8807

8807 = 8807

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

LCM = 77501600 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 11 x 8807

Step 4: Therefore, the least common multiple of 8800 and 8807 is 77501600.