Least Common Multiple of 5771 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 5771 and 5776 the smallest integer that is 33333296 that is divisible by both numbers.

Least Common Multiple (LCM) of 5771 and 5776 is 33333296.

LCM(5771,5776) = 33333296

LCM of 5771 and 5776

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

LCM of:
and

Least Common Multiple of 5771 and 5776

LCM of 5771 and 5776 is 33333296

Least common multiple can be found by multiplying the highest exponent prime factors of 5771 and 5776. First we will calculate the prime factors of 5771 and 5776.

Prime Factorization of 5771


29 5771
199 199
1

Prime factors of 5771 are 29,199. Prime factorization of 5771 in exponential form is:

5771 = 291×1991

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 5771 and 5776.

LCM(5771,5776) = 24×192×291×1991
LCM(5771,5776) = 33333296

Factors of 5771

List of positive integer factors of 5771 that divides 5771 without a remainder.

1, 29, 199, 5771

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 5771 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 5771 and 5776, than apply into the LCM equation.

GCF(5771,5776) = 1
LCM(5771,5776) = ( 5771 × 5776) / 1
LCM(5771,5776) = 33333296 / 1
LCM(5771,5776) = 33333296

Properties of LCM 5771 and 5776

(i) The LCM of 5776 and 5771 is associative

LCM of 5771 and 5776 = LCM of 5776 and 5771

Related Least Common Multiples of 5771

Related Least Common Multiples of 5776

Frequently Asked Questions on LCM of 5771 and 5776

1. What is the LCM of 5771 and 5776?

Answer: LCM of 5771 and 5776 is 33333296.

2. What are the Factors of 5771?

Answer: Factors of 5771 are 1, 29, 199, 5771. There are 4 integers that are factors of 5771. The greatest factor of 5771 is 5771.

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 5771 and 5776?

Answer:

Least Common Multiple of 5771 and 5776 = 33333296

Step 1: Find the prime factorization of 5771

5771 = 29 x 199

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 = 33333296 = 2 x 2 x 2 x 2 x 19 x 19 x 29 x 199

Step 4: Therefore, the least common multiple of 5771 and 5776 is 33333296.