Least Common Multiple of 5801 and 5803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5801 and 5803 the smallest integer that is 33663203 that is divisible by both numbers.

Least Common Multiple (LCM) of 5801 and 5803 is 33663203.

LCM(5801,5803) = 33663203

LCM of 5801 and 5803

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

LCM of:
and

Least Common Multiple of 5801 and 5803

LCM of 5801 and 5803 is 33663203

Least common multiple can be found by multiplying the highest exponent prime factors of 5801 and 5803. First we will calculate the prime factors of 5801 and 5803.

Prime Factorization of 5801


5801 5801
1

Prime factors of 5801 are 5801. Prime factorization of 5801 in exponential form is:

5801 = 58011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5801 and 5803.

LCM(5801,5803) = 71×8291×58011
LCM(5801,5803) = 33663203

Factors of 5801

List of positive integer factors of 5801 that divides 5801 without a remainder.

1, 5801

Factors of 5803

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

1, 7, 829, 5803

Least Common Multiple of 5801 and 5803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5801 and 5803, than apply into the LCM equation.

GCF(5801,5803) = 1
LCM(5801,5803) = ( 5801 × 5803) / 1
LCM(5801,5803) = 33663203 / 1
LCM(5801,5803) = 33663203

Properties of LCM 5801 and 5803

(i) The LCM of 5803 and 5801 is associative

LCM of 5801 and 5803 = LCM of 5803 and 5801

Related Least Common Multiples of 5801

Related Least Common Multiples of 5803

Frequently Asked Questions on LCM of 5801 and 5803

1. What is the LCM of 5801 and 5803?

Answer: LCM of 5801 and 5803 is 33663203.

2. What are the Factors of 5801?

Answer: Factors of 5801 are 1, 5801. There are 2 integers that are factors of 5801. The greatest factor of 5801 is 5801.

3. 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.

4. How to Find the LCM of 5801 and 5803?

Answer:

Least Common Multiple of 5801 and 5803 = 33663203

Step 1: Find the prime factorization of 5801

5801 = 5801

Step 2: Find the prime factorization of 5803

5803 = 7 x 829

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

LCM = 33663203 = 7 x 829 x 5801

Step 4: Therefore, the least common multiple of 5801 and 5803 is 33663203.