Least Common Multiple of 5801 and 5805

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 5805 the smallest integer that is 33674805 that is divisible by both numbers.

Least Common Multiple (LCM) of 5801 and 5805 is 33674805.

LCM(5801,5805) = 33674805

LCM of 5801 and 5805

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

LCM of:
and

Least Common Multiple of 5801 and 5805

LCM of 5801 and 5805 is 33674805

Least common multiple can be found by multiplying the highest exponent prime factors of 5801 and 5805. First we will calculate the prime factors of 5801 and 5805.

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 5805


3 5805
3 1935
3 645
5 215
43 43
1

Prime factors of 5805 are 3, 5,43. Prime factorization of 5805 in exponential form is:

5805 = 33×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 5801 and 5805.

LCM(5801,5805) = 33×51×431×58011
LCM(5801,5805) = 33674805

Factors of 5801

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

1, 5801

Factors of 5805

List of positive integer factors of 5805 that divides 5805 without a remainder.

1, 3, 5, 9, 15, 27, 43, 45, 129, 135, 215, 387, 645, 1161, 1935, 5805

Least Common Multiple of 5801 and 5805 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 5805, than apply into the LCM equation.

GCF(5801,5805) = 1
LCM(5801,5805) = ( 5801 × 5805) / 1
LCM(5801,5805) = 33674805 / 1
LCM(5801,5805) = 33674805

Properties of LCM 5801 and 5805

(i) The LCM of 5805 and 5801 is associative

LCM of 5801 and 5805 = LCM of 5805 and 5801

Related Least Common Multiples of 5801

Related Least Common Multiples of 5805

Frequently Asked Questions on LCM of 5801 and 5805

1. What is the LCM of 5801 and 5805?

Answer: LCM of 5801 and 5805 is 33674805.

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 5805?

Answer: Factors of 5805 are 1, 3, 5, 9, 15, 27, 43, 45, 129, 135, 215, 387, 645, 1161, 1935, 5805. There are 16 integers that are factors of 5805. The greatest factor of 5805 is 5805.

4. How to Find the LCM of 5801 and 5805?

Answer:

Least Common Multiple of 5801 and 5805 = 33674805

Step 1: Find the prime factorization of 5801

5801 = 5801

Step 2: Find the prime factorization of 5805

5805 = 3 x 3 x 3 x 5 x 43

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

LCM = 33674805 = 3 x 3 x 3 x 5 x 43 x 5801

Step 4: Therefore, the least common multiple of 5801 and 5805 is 33674805.