Least Common Multiple of 5775 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 5775 and 5776 the smallest integer that is 33356400 that is divisible by both numbers.

Least Common Multiple (LCM) of 5775 and 5776 is 33356400.

LCM(5775,5776) = 33356400

LCM of 5775 and 5776

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

LCM of:
and

Least Common Multiple of 5775 and 5776

LCM of 5775 and 5776 is 33356400

Least common multiple can be found by multiplying the highest exponent prime factors of 5775 and 5776. First we will calculate the prime factors of 5775 and 5776.

Prime Factorization of 5775


3 5775
5 1925
5 385
7 77
11 11
1

Prime factors of 5775 are 3, 5, 7,11. Prime factorization of 5775 in exponential form is:

5775 = 31×52×71×111

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 5775 and 5776.

LCM(5775,5776) = 24×31×52×71×111×192
LCM(5775,5776) = 33356400

Factors of 5775

List of positive integer factors of 5775 that divides 5775 without a remainder.

1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 165, 175, 231, 275, 385, 525, 825, 1155, 1925, 5775

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 5775 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 5775 and 5776, than apply into the LCM equation.

GCF(5775,5776) = 1
LCM(5775,5776) = ( 5775 × 5776) / 1
LCM(5775,5776) = 33356400 / 1
LCM(5775,5776) = 33356400

Properties of LCM 5775 and 5776

(i) The LCM of 5776 and 5775 is associative

LCM of 5775 and 5776 = LCM of 5776 and 5775

Related Least Common Multiples of 5775

Related Least Common Multiples of 5776

Frequently Asked Questions on LCM of 5775 and 5776

1. What is the LCM of 5775 and 5776?

Answer: LCM of 5775 and 5776 is 33356400.

2. What are the Factors of 5775?

Answer: Factors of 5775 are 1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 165, 175, 231, 275, 385, 525, 825, 1155, 1925, 5775. There are 24 integers that are factors of 5775. The greatest factor of 5775 is 5775.

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 5775 and 5776?

Answer:

Least Common Multiple of 5775 and 5776 = 33356400

Step 1: Find the prime factorization of 5775

5775 = 3 x 5 x 5 x 7 x 11

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 = 33356400 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 11 x 19 x 19

Step 4: Therefore, the least common multiple of 5775 and 5776 is 33356400.