Least Common Multiple of 5772 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 5772 and 5776 the smallest integer that is 8334768 that is divisible by both numbers.

Least Common Multiple (LCM) of 5772 and 5776 is 8334768.

LCM(5772,5776) = 8334768

LCM of 5772 and 5776

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

LCM of:
and

Least Common Multiple of 5772 and 5776

LCM of 5772 and 5776 is 8334768

Least common multiple can be found by multiplying the highest exponent prime factors of 5772 and 5776. First we will calculate the prime factors of 5772 and 5776.

Prime Factorization of 5772


2 5772
2 2886
3 1443
13 481
37 37
1

Prime factors of 5772 are 2, 3, 13,37. Prime factorization of 5772 in exponential form is:

5772 = 22×31×131×371

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 5772 and 5776.

LCM(5772,5776) = 24×31×131×192×371
LCM(5772,5776) = 8334768

Factors of 5772

List of positive integer factors of 5772 that divides 5772 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 37, 39, 52, 74, 78, 111, 148, 156, 222, 444, 481, 962, 1443, 1924, 2886, 5772

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 5772 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 5772 and 5776, than apply into the LCM equation.

GCF(5772,5776) = 4
LCM(5772,5776) = ( 5772 × 5776) / 4
LCM(5772,5776) = 33339072 / 4
LCM(5772,5776) = 8334768

Properties of LCM 5772 and 5776

(i) The LCM of 5776 and 5772 is associative

LCM of 5772 and 5776 = LCM of 5776 and 5772

Related Least Common Multiples of 5772

Related Least Common Multiples of 5776

Frequently Asked Questions on LCM of 5772 and 5776

1. What is the LCM of 5772 and 5776?

Answer: LCM of 5772 and 5776 is 8334768.

2. What are the Factors of 5772?

Answer: Factors of 5772 are 1, 2, 3, 4, 6, 12, 13, 26, 37, 39, 52, 74, 78, 111, 148, 156, 222, 444, 481, 962, 1443, 1924, 2886, 5772. There are 24 integers that are factors of 5772. The greatest factor of 5772 is 5772.

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 5772 and 5776?

Answer:

Least Common Multiple of 5772 and 5776 = 8334768

Step 1: Find the prime factorization of 5772

5772 = 2 x 2 x 3 x 13 x 37

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 = 8334768 = 2 x 2 x 2 x 2 x 3 x 13 x 19 x 19 x 37

Step 4: Therefore, the least common multiple of 5772 and 5776 is 8334768.