Least Common Multiple of 800 and 804

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 804 the smallest integer that is 160800 that is divisible by both numbers.

Least Common Multiple (LCM) of 800 and 804 is 160800.

LCM(800,804) = 160800

LCM of 800 and 804

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

LCM of:
and

Least Common Multiple of 800 and 804

LCM of 800 and 804 is 160800

Least common multiple can be found by multiplying the highest exponent prime factors of 800 and 804. First we will calculate the prime factors of 800 and 804.

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 804


2 804
2 402
3 201
67 67
1

Prime factors of 804 are 2, 3,67. Prime factorization of 804 in exponential form is:

804 = 22×31×671

Now multiplying the highest exponent prime factors to calculate the LCM of 800 and 804.

LCM(800,804) = 25×31×52×671
LCM(800,804) = 160800

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 804

List of positive integer factors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Least Common Multiple of 800 and 804 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 804, than apply into the LCM equation.

GCF(800,804) = 4
LCM(800,804) = ( 800 × 804) / 4
LCM(800,804) = 643200 / 4
LCM(800,804) = 160800

Properties of LCM 800 and 804

(i) The LCM of 804 and 800 is associative

LCM of 800 and 804 = LCM of 804 and 800

Related Least Common Multiples of 800

Related Least Common Multiples of 804

Frequently Asked Questions on LCM of 800 and 804

1. What is the LCM of 800 and 804?

Answer: LCM of 800 and 804 is 160800.

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 804?

Answer: Factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804. There are 12 integers that are factors of 804. The greatest factor of 804 is 804.

4. How to Find the LCM of 800 and 804?

Answer:

Least Common Multiple of 800 and 804 = 160800

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 804

804 = 2 x 2 x 3 x 67

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

LCM = 160800 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 67

Step 4: Therefore, the least common multiple of 800 and 804 is 160800.