Least Common Multiple of 800 and 808

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 808 the smallest integer that is 80800 that is divisible by both numbers.

Least Common Multiple (LCM) of 800 and 808 is 80800.

LCM(800,808) = 80800

LCM of 800 and 808

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

LCM of:
and

Least Common Multiple of 800 and 808

LCM of 800 and 808 is 80800

Least common multiple can be found by multiplying the highest exponent prime factors of 800 and 808. First we will calculate the prime factors of 800 and 808.

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 808


2 808
2 404
2 202
101 101
1

Prime factors of 808 are 2,101. Prime factorization of 808 in exponential form is:

808 = 23×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 800 and 808.

LCM(800,808) = 25×52×1011
LCM(800,808) = 80800

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 808

List of positive integer factors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Least Common Multiple of 800 and 808 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 808, than apply into the LCM equation.

GCF(800,808) = 8
LCM(800,808) = ( 800 × 808) / 8
LCM(800,808) = 646400 / 8
LCM(800,808) = 80800

Properties of LCM 800 and 808

(i) The LCM of 808 and 800 is associative

LCM of 800 and 808 = LCM of 808 and 800

Related Least Common Multiples of 800

Related Least Common Multiples of 808

Frequently Asked Questions on LCM of 800 and 808

1. What is the LCM of 800 and 808?

Answer: LCM of 800 and 808 is 80800.

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 808?

Answer: Factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808. There are 8 integers that are factors of 808. The greatest factor of 808 is 808.

4. How to Find the LCM of 800 and 808?

Answer:

Least Common Multiple of 800 and 808 = 80800

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 808

808 = 2 x 2 x 2 x 101

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

LCM = 80800 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 101

Step 4: Therefore, the least common multiple of 800 and 808 is 80800.