Least Common Multiple of 5799 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 5799 and 5805 the smallest integer that is 11221065 that is divisible by both numbers.

Least Common Multiple (LCM) of 5799 and 5805 is 11221065.

LCM(5799,5805) = 11221065

LCM of 5799 and 5805

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

LCM of:
and

Least Common Multiple of 5799 and 5805

LCM of 5799 and 5805 is 11221065

Least common multiple can be found by multiplying the highest exponent prime factors of 5799 and 5805. First we will calculate the prime factors of 5799 and 5805.

Prime Factorization of 5799


3 5799
1933 1933
1

Prime factors of 5799 are 3,1933. Prime factorization of 5799 in exponential form is:

5799 = 31×19331

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 5799 and 5805.

LCM(5799,5805) = 33×51×431×19331
LCM(5799,5805) = 11221065

Factors of 5799

List of positive integer factors of 5799 that divides 5799 without a remainder.

1, 3, 1933, 5799

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 5799 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 5799 and 5805, than apply into the LCM equation.

GCF(5799,5805) = 3
LCM(5799,5805) = ( 5799 × 5805) / 3
LCM(5799,5805) = 33663195 / 3
LCM(5799,5805) = 11221065

Properties of LCM 5799 and 5805

(i) The LCM of 5805 and 5799 is associative

LCM of 5799 and 5805 = LCM of 5805 and 5799

Related Least Common Multiples of 5799

Related Least Common Multiples of 5805

Frequently Asked Questions on LCM of 5799 and 5805

1. What is the LCM of 5799 and 5805?

Answer: LCM of 5799 and 5805 is 11221065.

2. What are the Factors of 5799?

Answer: Factors of 5799 are 1, 3, 1933, 5799. There are 4 integers that are factors of 5799. The greatest factor of 5799 is 5799.

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 5799 and 5805?

Answer:

Least Common Multiple of 5799 and 5805 = 11221065

Step 1: Find the prime factorization of 5799

5799 = 3 x 1933

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 = 11221065 = 3 x 3 x 3 x 5 x 43 x 1933

Step 4: Therefore, the least common multiple of 5799 and 5805 is 11221065.