Least Common Multiple of 5769 and 5773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5769 and 5773 the smallest integer that is 33304437 that is divisible by both numbers.

Least Common Multiple (LCM) of 5769 and 5773 is 33304437.

LCM(5769,5773) = 33304437

LCM of 5769 and 5773

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

LCM of:
and

Least Common Multiple of 5769 and 5773

LCM of 5769 and 5773 is 33304437

Least common multiple can be found by multiplying the highest exponent prime factors of 5769 and 5773. First we will calculate the prime factors of 5769 and 5773.

Prime Factorization of 5769


3 5769
3 1923
641 641
1

Prime factors of 5769 are 3,641. Prime factorization of 5769 in exponential form is:

5769 = 32×6411

Prime Factorization of 5773


23 5773
251 251
1

Prime factors of 5773 are 23,251. Prime factorization of 5773 in exponential form is:

5773 = 231×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 5769 and 5773.

LCM(5769,5773) = 32×231×2511×6411
LCM(5769,5773) = 33304437

Factors of 5769

List of positive integer factors of 5769 that divides 5769 without a remainder.

1, 3, 9, 641, 1923, 5769

Factors of 5773

List of positive integer factors of 5773 that divides 5773 without a remainder.

1, 23, 251, 5773

Least Common Multiple of 5769 and 5773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5769 and 5773, than apply into the LCM equation.

GCF(5769,5773) = 1
LCM(5769,5773) = ( 5769 × 5773) / 1
LCM(5769,5773) = 33304437 / 1
LCM(5769,5773) = 33304437

Properties of LCM 5769 and 5773

(i) The LCM of 5773 and 5769 is associative

LCM of 5769 and 5773 = LCM of 5773 and 5769

Related Least Common Multiples of 5769

Related Least Common Multiples of 5773

Frequently Asked Questions on LCM of 5769 and 5773

1. What is the LCM of 5769 and 5773?

Answer: LCM of 5769 and 5773 is 33304437.

2. What are the Factors of 5769?

Answer: Factors of 5769 are 1, 3, 9, 641, 1923, 5769. There are 6 integers that are factors of 5769. The greatest factor of 5769 is 5769.

3. What are the Factors of 5773?

Answer: Factors of 5773 are 1, 23, 251, 5773. There are 4 integers that are factors of 5773. The greatest factor of 5773 is 5773.

4. How to Find the LCM of 5769 and 5773?

Answer:

Least Common Multiple of 5769 and 5773 = 33304437

Step 1: Find the prime factorization of 5769

5769 = 3 x 3 x 641

Step 2: Find the prime factorization of 5773

5773 = 23 x 251

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

LCM = 33304437 = 3 x 3 x 23 x 251 x 641

Step 4: Therefore, the least common multiple of 5769 and 5773 is 33304437.