Least Common Multiple of 5769 and 5776

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 5776 the smallest integer that is 33321744 that is divisible by both numbers.

Least Common Multiple (LCM) of 5769 and 5776 is 33321744.

LCM(5769,5776) = 33321744

LCM of 5769 and 5776

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

LCM of:
and

Least Common Multiple of 5769 and 5776

LCM of 5769 and 5776 is 33321744

Least common multiple can be found by multiplying the highest exponent prime factors of 5769 and 5776. First we will calculate the prime factors of 5769 and 5776.

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 5776


2 5776
2 2888
2 1444
2 722
19 361
19 19
1

Prime factors of 5776 are 2,19. Prime factorization of 5776 in exponential form is:

5776 = 24×192

Now multiplying the highest exponent prime factors to calculate the LCM of 5769 and 5776.

LCM(5769,5776) = 24×32×192×6411
LCM(5769,5776) = 33321744

Factors of 5769

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

1, 3, 9, 641, 1923, 5769

Factors of 5776

List of positive integer factors of 5776 that divides 5776 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304, 361, 722, 1444, 2888, 5776

Least Common Multiple of 5769 and 5776 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 5776, than apply into the LCM equation.

GCF(5769,5776) = 1
LCM(5769,5776) = ( 5769 × 5776) / 1
LCM(5769,5776) = 33321744 / 1
LCM(5769,5776) = 33321744

Properties of LCM 5769 and 5776

(i) The LCM of 5776 and 5769 is associative

LCM of 5769 and 5776 = LCM of 5776 and 5769

Related Least Common Multiples of 5769

Related Least Common Multiples of 5776

Frequently Asked Questions on LCM of 5769 and 5776

1. What is the LCM of 5769 and 5776?

Answer: LCM of 5769 and 5776 is 33321744.

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 5776?

Answer: Factors of 5776 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304, 361, 722, 1444, 2888, 5776. There are 15 integers that are factors of 5776. The greatest factor of 5776 is 5776.

4. How to Find the LCM of 5769 and 5776?

Answer:

Least Common Multiple of 5769 and 5776 = 33321744

Step 1: Find the prime factorization of 5769

5769 = 3 x 3 x 641

Step 2: Find the prime factorization of 5776

5776 = 2 x 2 x 2 x 2 x 19 x 19

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

LCM = 33321744 = 2 x 2 x 2 x 2 x 3 x 3 x 19 x 19 x 641

Step 4: Therefore, the least common multiple of 5769 and 5776 is 33321744.