Least Common Multiple of 5775 and 5779

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 5779 the smallest integer that is 33373725 that is divisible by both numbers.

Least Common Multiple (LCM) of 5775 and 5779 is 33373725.

LCM(5775,5779) = 33373725

LCM of 5775 and 5779

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

LCM of:
and

Least Common Multiple of 5775 and 5779

LCM of 5775 and 5779 is 33373725

Least common multiple can be found by multiplying the highest exponent prime factors of 5775 and 5779. First we will calculate the prime factors of 5775 and 5779.

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 5779


5779 5779
1

Prime factors of 5779 are 5779. Prime factorization of 5779 in exponential form is:

5779 = 57791

Now multiplying the highest exponent prime factors to calculate the LCM of 5775 and 5779.

LCM(5775,5779) = 31×52×71×111×57791
LCM(5775,5779) = 33373725

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 5779

List of positive integer factors of 5779 that divides 5779 without a remainder.

1, 5779

Least Common Multiple of 5775 and 5779 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 5779, than apply into the LCM equation.

GCF(5775,5779) = 1
LCM(5775,5779) = ( 5775 × 5779) / 1
LCM(5775,5779) = 33373725 / 1
LCM(5775,5779) = 33373725

Properties of LCM 5775 and 5779

(i) The LCM of 5779 and 5775 is associative

LCM of 5775 and 5779 = LCM of 5779 and 5775

Related Least Common Multiples of 5775

Related Least Common Multiples of 5779

Frequently Asked Questions on LCM of 5775 and 5779

1. What is the LCM of 5775 and 5779?

Answer: LCM of 5775 and 5779 is 33373725.

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 5779?

Answer: Factors of 5779 are 1, 5779. There are 2 integers that are factors of 5779. The greatest factor of 5779 is 5779.

4. How to Find the LCM of 5775 and 5779?

Answer:

Least Common Multiple of 5775 and 5779 = 33373725

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 5779

5779 = 5779

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

LCM = 33373725 = 3 x 5 x 5 x 7 x 11 x 5779

Step 4: Therefore, the least common multiple of 5775 and 5779 is 33373725.