Least Common Multiple of 5803 and 5804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5803 and 5804 the smallest integer that is 33680612 that is divisible by both numbers.

Least Common Multiple (LCM) of 5803 and 5804 is 33680612.

LCM(5803,5804) = 33680612

LCM of 5803 and 5804

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

LCM of:
and

Least Common Multiple of 5803 and 5804

LCM of 5803 and 5804 is 33680612

Least common multiple can be found by multiplying the highest exponent prime factors of 5803 and 5804. First we will calculate the prime factors of 5803 and 5804.

Prime Factorization of 5803


7 5803
829 829
1

Prime factors of 5803 are 7,829. Prime factorization of 5803 in exponential form is:

5803 = 71×8291

Prime Factorization of 5804


2 5804
2 2902
1451 1451
1

Prime factors of 5804 are 2,1451. Prime factorization of 5804 in exponential form is:

5804 = 22×14511

Now multiplying the highest exponent prime factors to calculate the LCM of 5803 and 5804.

LCM(5803,5804) = 22×71×8291×14511
LCM(5803,5804) = 33680612

Factors of 5803

List of positive integer factors of 5803 that divides 5803 without a remainder.

1, 7, 829, 5803

Factors of 5804

List of positive integer factors of 5804 that divides 5804 without a remainder.

1, 2, 4, 1451, 2902, 5804

Least Common Multiple of 5803 and 5804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5803 and 5804, than apply into the LCM equation.

GCF(5803,5804) = 1
LCM(5803,5804) = ( 5803 × 5804) / 1
LCM(5803,5804) = 33680612 / 1
LCM(5803,5804) = 33680612

Properties of LCM 5803 and 5804

(i) The LCM of 5804 and 5803 is associative

LCM of 5803 and 5804 = LCM of 5804 and 5803

Related Least Common Multiples of 5803

Related Least Common Multiples of 5804

Frequently Asked Questions on LCM of 5803 and 5804

1. What is the LCM of 5803 and 5804?

Answer: LCM of 5803 and 5804 is 33680612.

2. What are the Factors of 5803?

Answer: Factors of 5803 are 1, 7, 829, 5803. There are 4 integers that are factors of 5803. The greatest factor of 5803 is 5803.

3. What are the Factors of 5804?

Answer: Factors of 5804 are 1, 2, 4, 1451, 2902, 5804. There are 6 integers that are factors of 5804. The greatest factor of 5804 is 5804.

4. How to Find the LCM of 5803 and 5804?

Answer:

Least Common Multiple of 5803 and 5804 = 33680612

Step 1: Find the prime factorization of 5803

5803 = 7 x 829

Step 2: Find the prime factorization of 5804

5804 = 2 x 2 x 1451

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

LCM = 33680612 = 2 x 2 x 7 x 829 x 1451

Step 4: Therefore, the least common multiple of 5803 and 5804 is 33680612.