Least Common Multiple of 5776 and 5780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5776 and 5780 the smallest integer that is 8346320 that is divisible by both numbers.

Least Common Multiple (LCM) of 5776 and 5780 is 8346320.

LCM(5776,5780) = 8346320

LCM of 5776 and 5780

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

LCM of:
and

Least Common Multiple of 5776 and 5780

LCM of 5776 and 5780 is 8346320

Least common multiple can be found by multiplying the highest exponent prime factors of 5776 and 5780. First we will calculate the prime factors of 5776 and 5780.

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

Prime Factorization of 5780


2 5780
2 2890
5 1445
17 289
17 17
1

Prime factors of 5780 are 2, 5,17. Prime factorization of 5780 in exponential form is:

5780 = 22×51×172

Now multiplying the highest exponent prime factors to calculate the LCM of 5776 and 5780.

LCM(5776,5780) = 24×51×172×192
LCM(5776,5780) = 8346320

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

Factors of 5780

List of positive integer factors of 5780 that divides 5780 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780

Least Common Multiple of 5776 and 5780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5776 and 5780, than apply into the LCM equation.

GCF(5776,5780) = 4
LCM(5776,5780) = ( 5776 × 5780) / 4
LCM(5776,5780) = 33385280 / 4
LCM(5776,5780) = 8346320

Properties of LCM 5776 and 5780

(i) The LCM of 5780 and 5776 is associative

LCM of 5776 and 5780 = LCM of 5780 and 5776

Related Least Common Multiples of 5776

Related Least Common Multiples of 5780

Frequently Asked Questions on LCM of 5776 and 5780

1. What is the LCM of 5776 and 5780?

Answer: LCM of 5776 and 5780 is 8346320.

2. 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.

3. What are the Factors of 5780?

Answer: Factors of 5780 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780. There are 18 integers that are factors of 5780. The greatest factor of 5780 is 5780.

4. How to Find the LCM of 5776 and 5780?

Answer:

Least Common Multiple of 5776 and 5780 = 8346320

Step 1: Find the prime factorization of 5776

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

Step 2: Find the prime factorization of 5780

5780 = 2 x 2 x 5 x 17 x 17

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

LCM = 8346320 = 2 x 2 x 2 x 2 x 5 x 17 x 17 x 19 x 19

Step 4: Therefore, the least common multiple of 5776 and 5780 is 8346320.