Least Common Multiple of 5770 and 5775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5770 and 5775 the smallest integer that is 6664350 that is divisible by both numbers.

Least Common Multiple (LCM) of 5770 and 5775 is 6664350.

LCM(5770,5775) = 6664350

LCM of 5770 and 5775

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

LCM of:
and

Least Common Multiple of 5770 and 5775

LCM of 5770 and 5775 is 6664350

Least common multiple can be found by multiplying the highest exponent prime factors of 5770 and 5775. First we will calculate the prime factors of 5770 and 5775.

Prime Factorization of 5770


2 5770
5 2885
577 577
1

Prime factors of 5770 are 2, 5,577. Prime factorization of 5770 in exponential form is:

5770 = 21×51×5771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5770 and 5775.

LCM(5770,5775) = 21×31×52×71×111×5771
LCM(5770,5775) = 6664350

Factors of 5770

List of positive integer factors of 5770 that divides 5770 without a remainder.

1, 2, 5, 10, 577, 1154, 2885, 5770

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

Least Common Multiple of 5770 and 5775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5770 and 5775, than apply into the LCM equation.

GCF(5770,5775) = 5
LCM(5770,5775) = ( 5770 × 5775) / 5
LCM(5770,5775) = 33321750 / 5
LCM(5770,5775) = 6664350

Properties of LCM 5770 and 5775

(i) The LCM of 5775 and 5770 is associative

LCM of 5770 and 5775 = LCM of 5775 and 5770

Related Least Common Multiples of 5770

Related Least Common Multiples of 5775

Frequently Asked Questions on LCM of 5770 and 5775

1. What is the LCM of 5770 and 5775?

Answer: LCM of 5770 and 5775 is 6664350.

2. What are the Factors of 5770?

Answer: Factors of 5770 are 1, 2, 5, 10, 577, 1154, 2885, 5770. There are 8 integers that are factors of 5770. The greatest factor of 5770 is 5770.

3. 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.

4. How to Find the LCM of 5770 and 5775?

Answer:

Least Common Multiple of 5770 and 5775 = 6664350

Step 1: Find the prime factorization of 5770

5770 = 2 x 5 x 577

Step 2: Find the prime factorization of 5775

5775 = 3 x 5 x 5 x 7 x 11

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

LCM = 6664350 = 2 x 3 x 5 x 5 x 7 x 11 x 577

Step 4: Therefore, the least common multiple of 5770 and 5775 is 6664350.