Least Common Multiple of 5789 and 5793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5789 and 5793 the smallest integer that is 33535677 that is divisible by both numbers.

Least Common Multiple (LCM) of 5789 and 5793 is 33535677.

LCM(5789,5793) = 33535677

LCM of 5789 and 5793

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

LCM of:
and

Least Common Multiple of 5789 and 5793

LCM of 5789 and 5793 is 33535677

Least common multiple can be found by multiplying the highest exponent prime factors of 5789 and 5793. First we will calculate the prime factors of 5789 and 5793.

Prime Factorization of 5789


7 5789
827 827
1

Prime factors of 5789 are 7,827. Prime factorization of 5789 in exponential form is:

5789 = 71×8271

Prime Factorization of 5793


3 5793
1931 1931
1

Prime factors of 5793 are 3,1931. Prime factorization of 5793 in exponential form is:

5793 = 31×19311

Now multiplying the highest exponent prime factors to calculate the LCM of 5789 and 5793.

LCM(5789,5793) = 31×71×8271×19311
LCM(5789,5793) = 33535677

Factors of 5789

List of positive integer factors of 5789 that divides 5789 without a remainder.

1, 7, 827, 5789

Factors of 5793

List of positive integer factors of 5793 that divides 5793 without a remainder.

1, 3, 1931, 5793

Least Common Multiple of 5789 and 5793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5789 and 5793, than apply into the LCM equation.

GCF(5789,5793) = 1
LCM(5789,5793) = ( 5789 × 5793) / 1
LCM(5789,5793) = 33535677 / 1
LCM(5789,5793) = 33535677

Properties of LCM 5789 and 5793

(i) The LCM of 5793 and 5789 is associative

LCM of 5789 and 5793 = LCM of 5793 and 5789

Related Least Common Multiples of 5789

Related Least Common Multiples of 5793

Frequently Asked Questions on LCM of 5789 and 5793

1. What is the LCM of 5789 and 5793?

Answer: LCM of 5789 and 5793 is 33535677.

2. What are the Factors of 5789?

Answer: Factors of 5789 are 1, 7, 827, 5789. There are 4 integers that are factors of 5789. The greatest factor of 5789 is 5789.

3. What are the Factors of 5793?

Answer: Factors of 5793 are 1, 3, 1931, 5793. There are 4 integers that are factors of 5793. The greatest factor of 5793 is 5793.

4. How to Find the LCM of 5789 and 5793?

Answer:

Least Common Multiple of 5789 and 5793 = 33535677

Step 1: Find the prime factorization of 5789

5789 = 7 x 827

Step 2: Find the prime factorization of 5793

5793 = 3 x 1931

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

LCM = 33535677 = 3 x 7 x 827 x 1931

Step 4: Therefore, the least common multiple of 5789 and 5793 is 33535677.