Least Common Multiple of 5769 and 5774

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 5774 the smallest integer that is 33310206 that is divisible by both numbers.

Least Common Multiple (LCM) of 5769 and 5774 is 33310206.

LCM(5769,5774) = 33310206

LCM of 5769 and 5774

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

LCM of:
and

Least Common Multiple of 5769 and 5774

LCM of 5769 and 5774 is 33310206

Least common multiple can be found by multiplying the highest exponent prime factors of 5769 and 5774. First we will calculate the prime factors of 5769 and 5774.

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 5774


2 5774
2887 2887
1

Prime factors of 5774 are 2,2887. Prime factorization of 5774 in exponential form is:

5774 = 21×28871

Now multiplying the highest exponent prime factors to calculate the LCM of 5769 and 5774.

LCM(5769,5774) = 21×32×6411×28871
LCM(5769,5774) = 33310206

Factors of 5769

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

1, 3, 9, 641, 1923, 5769

Factors of 5774

List of positive integer factors of 5774 that divides 5774 without a remainder.

1, 2, 2887, 5774

Least Common Multiple of 5769 and 5774 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 5774, than apply into the LCM equation.

GCF(5769,5774) = 1
LCM(5769,5774) = ( 5769 × 5774) / 1
LCM(5769,5774) = 33310206 / 1
LCM(5769,5774) = 33310206

Properties of LCM 5769 and 5774

(i) The LCM of 5774 and 5769 is associative

LCM of 5769 and 5774 = LCM of 5774 and 5769

Related Least Common Multiples of 5769

Related Least Common Multiples of 5774

Frequently Asked Questions on LCM of 5769 and 5774

1. What is the LCM of 5769 and 5774?

Answer: LCM of 5769 and 5774 is 33310206.

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 5774?

Answer: Factors of 5774 are 1, 2, 2887, 5774. There are 4 integers that are factors of 5774. The greatest factor of 5774 is 5774.

4. How to Find the LCM of 5769 and 5774?

Answer:

Least Common Multiple of 5769 and 5774 = 33310206

Step 1: Find the prime factorization of 5769

5769 = 3 x 3 x 641

Step 2: Find the prime factorization of 5774

5774 = 2 x 2887

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

LCM = 33310206 = 2 x 3 x 3 x 641 x 2887

Step 4: Therefore, the least common multiple of 5769 and 5774 is 33310206.