Least Common Multiple of 804 and 809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 804 and 809 the smallest integer that is 650436 that is divisible by both numbers.

Least Common Multiple (LCM) of 804 and 809 is 650436.

LCM(804,809) = 650436

LCM of 804 and 809

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

LCM of:
and

Least Common Multiple of 804 and 809

LCM of 804 and 809 is 650436

Least common multiple can be found by multiplying the highest exponent prime factors of 804 and 809. First we will calculate the prime factors of 804 and 809.

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

Prime Factorization of 809


809 809
1

Prime factors of 809 are 809. Prime factorization of 809 in exponential form is:

809 = 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 804 and 809.

LCM(804,809) = 22×31×671×8091
LCM(804,809) = 650436

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

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1, 809

Least Common Multiple of 804 and 809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 804 and 809, than apply into the LCM equation.

GCF(804,809) = 1
LCM(804,809) = ( 804 × 809) / 1
LCM(804,809) = 650436 / 1
LCM(804,809) = 650436

Properties of LCM 804 and 809

(i) The LCM of 809 and 804 is associative

LCM of 804 and 809 = LCM of 809 and 804

Related Least Common Multiples of 804

Related Least Common Multiples of 809

Frequently Asked Questions on LCM of 804 and 809

1. What is the LCM of 804 and 809?

Answer: LCM of 804 and 809 is 650436.

2. 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.

3. What are the Factors of 809?

Answer: Factors of 809 are 1, 809. There are 2 integers that are factors of 809. The greatest factor of 809 is 809.

4. How to Find the LCM of 804 and 809?

Answer:

Least Common Multiple of 804 and 809 = 650436

Step 1: Find the prime factorization of 804

804 = 2 x 2 x 3 x 67

Step 2: Find the prime factorization of 809

809 = 809

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

LCM = 650436 = 2 x 2 x 3 x 67 x 809

Step 4: Therefore, the least common multiple of 804 and 809 is 650436.