Least Common Multiple of 804 and 810

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 810 the smallest integer that is 108540 that is divisible by both numbers.

Least Common Multiple (LCM) of 804 and 810 is 108540.

LCM(804,810) = 108540

LCM of 804 and 810

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

LCM of:
and

Least Common Multiple of 804 and 810

LCM of 804 and 810 is 108540

Least common multiple can be found by multiplying the highest exponent prime factors of 804 and 810. First we will calculate the prime factors of 804 and 810.

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 810


2 810
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 810 are 2, 3,5. Prime factorization of 810 in exponential form is:

810 = 21×34×51

Now multiplying the highest exponent prime factors to calculate the LCM of 804 and 810.

LCM(804,810) = 22×34×51×671
LCM(804,810) = 108540

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 810

List of positive integer factors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Least Common Multiple of 804 and 810 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 810, than apply into the LCM equation.

GCF(804,810) = 6
LCM(804,810) = ( 804 × 810) / 6
LCM(804,810) = 651240 / 6
LCM(804,810) = 108540

Properties of LCM 804 and 810

(i) The LCM of 810 and 804 is associative

LCM of 804 and 810 = LCM of 810 and 804

Related Least Common Multiples of 804

Related Least Common Multiples of 810

Frequently Asked Questions on LCM of 804 and 810

1. What is the LCM of 804 and 810?

Answer: LCM of 804 and 810 is 108540.

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 810?

Answer: Factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810. There are 20 integers that are factors of 810. The greatest factor of 810 is 810.

4. How to Find the LCM of 804 and 810?

Answer:

Least Common Multiple of 804 and 810 = 108540

Step 1: Find the prime factorization of 804

804 = 2 x 2 x 3 x 67

Step 2: Find the prime factorization of 810

810 = 2 x 3 x 3 x 3 x 3 x 5

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

LCM = 108540 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 67

Step 4: Therefore, the least common multiple of 804 and 810 is 108540.