Least Common Multiple of 5768 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 5768 and 5773 the smallest integer that is 33298664 that is divisible by both numbers.

Least Common Multiple (LCM) of 5768 and 5773 is 33298664.

LCM(5768,5773) = 33298664

LCM of 5768 and 5773

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

LCM of:
and

Least Common Multiple of 5768 and 5773

LCM of 5768 and 5773 is 33298664

Least common multiple can be found by multiplying the highest exponent prime factors of 5768 and 5773. First we will calculate the prime factors of 5768 and 5773.

Prime Factorization of 5768


2 5768
2 2884
2 1442
7 721
103 103
1

Prime factors of 5768 are 2, 7,103. Prime factorization of 5768 in exponential form is:

5768 = 23×71×1031

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 5768 and 5773.

LCM(5768,5773) = 23×71×231×1031×2511
LCM(5768,5773) = 33298664

Factors of 5768

List of positive integer factors of 5768 that divides 5768 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 103, 206, 412, 721, 824, 1442, 2884, 5768

Factors of 5773

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

1, 23, 251, 5773

Least Common Multiple of 5768 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 5768 and 5773, than apply into the LCM equation.

GCF(5768,5773) = 1
LCM(5768,5773) = ( 5768 × 5773) / 1
LCM(5768,5773) = 33298664 / 1
LCM(5768,5773) = 33298664

Properties of LCM 5768 and 5773

(i) The LCM of 5773 and 5768 is associative

LCM of 5768 and 5773 = LCM of 5773 and 5768

Related Least Common Multiples of 5768

Related Least Common Multiples of 5773

Frequently Asked Questions on LCM of 5768 and 5773

1. What is the LCM of 5768 and 5773?

Answer: LCM of 5768 and 5773 is 33298664.

2. What are the Factors of 5768?

Answer: Factors of 5768 are 1, 2, 4, 7, 8, 14, 28, 56, 103, 206, 412, 721, 824, 1442, 2884, 5768. There are 16 integers that are factors of 5768. The greatest factor of 5768 is 5768.

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 5768 and 5773?

Answer:

Least Common Multiple of 5768 and 5773 = 33298664

Step 1: Find the prime factorization of 5768

5768 = 2 x 2 x 2 x 7 x 103

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 = 33298664 = 2 x 2 x 2 x 7 x 23 x 103 x 251

Step 4: Therefore, the least common multiple of 5768 and 5773 is 33298664.