Least Common Multiple of 5772 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 5772 and 5773 the smallest integer that is 33321756 that is divisible by both numbers.

Least Common Multiple (LCM) of 5772 and 5773 is 33321756.

LCM(5772,5773) = 33321756

LCM of 5772 and 5773

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

LCM of:
and

Least Common Multiple of 5772 and 5773

LCM of 5772 and 5773 is 33321756

Least common multiple can be found by multiplying the highest exponent prime factors of 5772 and 5773. First we will calculate the prime factors of 5772 and 5773.

Prime Factorization of 5772


2 5772
2 2886
3 1443
13 481
37 37
1

Prime factors of 5772 are 2, 3, 13,37. Prime factorization of 5772 in exponential form is:

5772 = 22×31×131×371

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 5772 and 5773.

LCM(5772,5773) = 22×31×131×231×371×2511
LCM(5772,5773) = 33321756

Factors of 5772

List of positive integer factors of 5772 that divides 5772 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 37, 39, 52, 74, 78, 111, 148, 156, 222, 444, 481, 962, 1443, 1924, 2886, 5772

Factors of 5773

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

1, 23, 251, 5773

Least Common Multiple of 5772 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 5772 and 5773, than apply into the LCM equation.

GCF(5772,5773) = 1
LCM(5772,5773) = ( 5772 × 5773) / 1
LCM(5772,5773) = 33321756 / 1
LCM(5772,5773) = 33321756

Properties of LCM 5772 and 5773

(i) The LCM of 5773 and 5772 is associative

LCM of 5772 and 5773 = LCM of 5773 and 5772

Related Least Common Multiples of 5772

Related Least Common Multiples of 5773

Frequently Asked Questions on LCM of 5772 and 5773

1. What is the LCM of 5772 and 5773?

Answer: LCM of 5772 and 5773 is 33321756.

2. What are the Factors of 5772?

Answer: Factors of 5772 are 1, 2, 3, 4, 6, 12, 13, 26, 37, 39, 52, 74, 78, 111, 148, 156, 222, 444, 481, 962, 1443, 1924, 2886, 5772. There are 24 integers that are factors of 5772. The greatest factor of 5772 is 5772.

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 5772 and 5773?

Answer:

Least Common Multiple of 5772 and 5773 = 33321756

Step 1: Find the prime factorization of 5772

5772 = 2 x 2 x 3 x 13 x 37

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 = 33321756 = 2 x 2 x 3 x 13 x 23 x 37 x 251

Step 4: Therefore, the least common multiple of 5772 and 5773 is 33321756.