Least Common Multiple of 5775 and 5777

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 5777 the smallest integer that is 33362175 that is divisible by both numbers.

Least Common Multiple (LCM) of 5775 and 5777 is 33362175.

LCM(5775,5777) = 33362175

LCM of 5775 and 5777

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

LCM of:
and

Least Common Multiple of 5775 and 5777

LCM of 5775 and 5777 is 33362175

Least common multiple can be found by multiplying the highest exponent prime factors of 5775 and 5777. First we will calculate the prime factors of 5775 and 5777.

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 5777


53 5777
109 109
1

Prime factors of 5777 are 53,109. Prime factorization of 5777 in exponential form is:

5777 = 531×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 5775 and 5777.

LCM(5775,5777) = 31×52×71×111×531×1091
LCM(5775,5777) = 33362175

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 5777

List of positive integer factors of 5777 that divides 5777 without a remainder.

1, 53, 109, 5777

Least Common Multiple of 5775 and 5777 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 5777, than apply into the LCM equation.

GCF(5775,5777) = 1
LCM(5775,5777) = ( 5775 × 5777) / 1
LCM(5775,5777) = 33362175 / 1
LCM(5775,5777) = 33362175

Properties of LCM 5775 and 5777

(i) The LCM of 5777 and 5775 is associative

LCM of 5775 and 5777 = LCM of 5777 and 5775

Related Least Common Multiples of 5775

Related Least Common Multiples of 5777

Frequently Asked Questions on LCM of 5775 and 5777

1. What is the LCM of 5775 and 5777?

Answer: LCM of 5775 and 5777 is 33362175.

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 5777?

Answer: Factors of 5777 are 1, 53, 109, 5777. There are 4 integers that are factors of 5777. The greatest factor of 5777 is 5777.

4. How to Find the LCM of 5775 and 5777?

Answer:

Least Common Multiple of 5775 and 5777 = 33362175

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 5777

5777 = 53 x 109

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

LCM = 33362175 = 3 x 5 x 5 x 7 x 11 x 53 x 109

Step 4: Therefore, the least common multiple of 5775 and 5777 is 33362175.