Least Common Multiple of 5794 and 5801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5794 and 5801 the smallest integer that is 33610994 that is divisible by both numbers.

Least Common Multiple (LCM) of 5794 and 5801 is 33610994.

LCM(5794,5801) = 33610994

LCM of 5794 and 5801

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

LCM of:
and

Least Common Multiple of 5794 and 5801

LCM of 5794 and 5801 is 33610994

Least common multiple can be found by multiplying the highest exponent prime factors of 5794 and 5801. First we will calculate the prime factors of 5794 and 5801.

Prime Factorization of 5794


2 5794
2897 2897
1

Prime factors of 5794 are 2,2897. Prime factorization of 5794 in exponential form is:

5794 = 21×28971

Prime Factorization of 5801


5801 5801
1

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

5801 = 58011

Now multiplying the highest exponent prime factors to calculate the LCM of 5794 and 5801.

LCM(5794,5801) = 21×28971×58011
LCM(5794,5801) = 33610994

Factors of 5794

List of positive integer factors of 5794 that divides 5794 without a remainder.

1, 2, 2897, 5794

Factors of 5801

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

1, 5801

Least Common Multiple of 5794 and 5801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5794 and 5801, than apply into the LCM equation.

GCF(5794,5801) = 1
LCM(5794,5801) = ( 5794 × 5801) / 1
LCM(5794,5801) = 33610994 / 1
LCM(5794,5801) = 33610994

Properties of LCM 5794 and 5801

(i) The LCM of 5801 and 5794 is associative

LCM of 5794 and 5801 = LCM of 5801 and 5794

Related Least Common Multiples of 5794

Related Least Common Multiples of 5801

Frequently Asked Questions on LCM of 5794 and 5801

1. What is the LCM of 5794 and 5801?

Answer: LCM of 5794 and 5801 is 33610994.

2. What are the Factors of 5794?

Answer: Factors of 5794 are 1, 2, 2897, 5794. There are 4 integers that are factors of 5794. The greatest factor of 5794 is 5794.

3. 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.

4. How to Find the LCM of 5794 and 5801?

Answer:

Least Common Multiple of 5794 and 5801 = 33610994

Step 1: Find the prime factorization of 5794

5794 = 2 x 2897

Step 2: Find the prime factorization of 5801

5801 = 5801

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

LCM = 33610994 = 2 x 2897 x 5801

Step 4: Therefore, the least common multiple of 5794 and 5801 is 33610994.