Least Common Multiple of 5766 and 5773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5766 and 5773 the smallest integer that is 33287118 that is divisible by both numbers.

Least Common Multiple (LCM) of 5766 and 5773 is 33287118.

LCM(5766,5773) = 33287118

LCM of 5766 and 5773

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

LCM of:
and

Least Common Multiple of 5766 and 5773

LCM of 5766 and 5773 is 33287118

Least common multiple can be found by multiplying the highest exponent prime factors of 5766 and 5773. First we will calculate the prime factors of 5766 and 5773.

Prime Factorization of 5766


2 5766
3 2883
31 961
31 31
1

Prime factors of 5766 are 2, 3,31. Prime factorization of 5766 in exponential form is:

5766 = 21×31×312

Prime Factorization of 5773


23 5773
251 251
1

Prime factors of 5773 are 23,251. Prime factorization of 5773 in exponential form is:

5773 = 231×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 5766 and 5773.

LCM(5766,5773) = 21×31×231×312×2511
LCM(5766,5773) = 33287118

Factors of 5766

List of positive integer factors of 5766 that divides 5766 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 961, 1922, 2883, 5766

Factors of 5773

List of positive integer factors of 5773 that divides 5773 without a remainder.

1, 23, 251, 5773

Least Common Multiple of 5766 and 5773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5766 and 5773, than apply into the LCM equation.

GCF(5766,5773) = 1
LCM(5766,5773) = ( 5766 × 5773) / 1
LCM(5766,5773) = 33287118 / 1
LCM(5766,5773) = 33287118

Properties of LCM 5766 and 5773

(i) The LCM of 5773 and 5766 is associative

LCM of 5766 and 5773 = LCM of 5773 and 5766

Related Least Common Multiples of 5766

Related Least Common Multiples of 5773

Frequently Asked Questions on LCM of 5766 and 5773

1. What is the LCM of 5766 and 5773?

Answer: LCM of 5766 and 5773 is 33287118.

2. What are the Factors of 5766?

Answer: Factors of 5766 are 1, 2, 3, 6, 31, 62, 93, 186, 961, 1922, 2883, 5766. There are 12 integers that are factors of 5766. The greatest factor of 5766 is 5766.

3. What are the Factors of 5773?

Answer: Factors of 5773 are 1, 23, 251, 5773. There are 4 integers that are factors of 5773. The greatest factor of 5773 is 5773.

4. How to Find the LCM of 5766 and 5773?

Answer:

Least Common Multiple of 5766 and 5773 = 33287118

Step 1: Find the prime factorization of 5766

5766 = 2 x 3 x 31 x 31

Step 2: Find the prime factorization of 5773

5773 = 23 x 251

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

LCM = 33287118 = 2 x 3 x 23 x 31 x 31 x 251

Step 4: Therefore, the least common multiple of 5766 and 5773 is 33287118.