Least Common Multiple of 804 and 306

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 306 the smallest integer that is 41004 that is divisible by both numbers.

Least Common Multiple (LCM) of 804 and 306 is 41004.

LCM(804,306) = 41004

LCM of 804 and 306

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

LCM of:
and

Least Common Multiple of 804 and 306

LCM of 804 and 306 is 41004

Least common multiple can be found by multiplying the highest exponent prime factors of 804 and 306. First we will calculate the prime factors of 804 and 306.

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 306


2 306
3 153
3 51
17 17
1

Prime factors of 306 are 2, 3,17. Prime factorization of 306 in exponential form is:

306 = 21×32×171

Now multiplying the highest exponent prime factors to calculate the LCM of 804 and 306.

LCM(804,306) = 22×32×171×671
LCM(804,306) = 41004

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 306

List of positive integer factors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Least Common Multiple of 804 and 306 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 306, than apply into the LCM equation.

GCF(804,306) = 6
LCM(804,306) = ( 804 × 306) / 6
LCM(804,306) = 246024 / 6
LCM(804,306) = 41004

Properties of LCM 804 and 306

(i) The LCM of 306 and 804 is associative

LCM of 804 and 306 = LCM of 306 and 804

Related Least Common Multiples of 804

Related Least Common Multiples of 306

Frequently Asked Questions on LCM of 804 and 306

1. What is the LCM of 804 and 306?

Answer: LCM of 804 and 306 is 41004.

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 306?

Answer: Factors of 306 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306. There are 12 integers that are factors of 306. The greatest factor of 306 is 306.

4. How to Find the LCM of 804 and 306?

Answer:

Least Common Multiple of 804 and 306 = 41004

Step 1: Find the prime factorization of 804

804 = 2 x 2 x 3 x 67

Step 2: Find the prime factorization of 306

306 = 2 x 3 x 3 x 17

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

LCM = 41004 = 2 x 2 x 3 x 3 x 17 x 67

Step 4: Therefore, the least common multiple of 804 and 306 is 41004.