Least Common Multiple of 800 and 805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 800 and 805 the smallest integer that is 128800 that is divisible by both numbers.

Least Common Multiple (LCM) of 800 and 805 is 128800.

LCM(800,805) = 128800

LCM of 800 and 805

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

LCM of:
and

Least Common Multiple of 800 and 805

LCM of 800 and 805 is 128800

Least common multiple can be found by multiplying the highest exponent prime factors of 800 and 805. First we will calculate the prime factors of 800 and 805.

Prime Factorization of 800


2 800
2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 800 are 2,5. Prime factorization of 800 in exponential form is:

800 = 25×52

Prime Factorization of 805


5 805
7 161
23 23
1

Prime factors of 805 are 5, 7,23. Prime factorization of 805 in exponential form is:

805 = 51×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 800 and 805.

LCM(800,805) = 25×52×71×231
LCM(800,805) = 128800

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Least Common Multiple of 800 and 805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 800 and 805, than apply into the LCM equation.

GCF(800,805) = 5
LCM(800,805) = ( 800 × 805) / 5
LCM(800,805) = 644000 / 5
LCM(800,805) = 128800

Properties of LCM 800 and 805

(i) The LCM of 805 and 800 is associative

LCM of 800 and 805 = LCM of 805 and 800

Related Least Common Multiples of 800

Related Least Common Multiples of 805

Frequently Asked Questions on LCM of 800 and 805

1. What is the LCM of 800 and 805?

Answer: LCM of 800 and 805 is 128800.

2. What are the Factors of 800?

Answer: Factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800. There are 18 integers that are factors of 800. The greatest factor of 800 is 800.

3. What are the Factors of 805?

Answer: Factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805. There are 8 integers that are factors of 805. The greatest factor of 805 is 805.

4. How to Find the LCM of 800 and 805?

Answer:

Least Common Multiple of 800 and 805 = 128800

Step 1: Find the prime factorization of 800

800 = 2 x 2 x 2 x 2 x 2 x 5 x 5

Step 2: Find the prime factorization of 805

805 = 5 x 7 x 23

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

LCM = 128800 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 23

Step 4: Therefore, the least common multiple of 800 and 805 is 128800.