Least Common Multiple of 5773 and 5781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5773 and 5781 the smallest integer that is 33373713 that is divisible by both numbers.

Least Common Multiple (LCM) of 5773 and 5781 is 33373713.

LCM(5773,5781) = 33373713

LCM of 5773 and 5781

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

LCM of:
and

Least Common Multiple of 5773 and 5781

LCM of 5773 and 5781 is 33373713

Least common multiple can be found by multiplying the highest exponent prime factors of 5773 and 5781. First we will calculate the prime factors of 5773 and 5781.

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

Prime Factorization of 5781


3 5781
41 1927
47 47
1

Prime factors of 5781 are 3, 41,47. Prime factorization of 5781 in exponential form is:

5781 = 31×411×471

Now multiplying the highest exponent prime factors to calculate the LCM of 5773 and 5781.

LCM(5773,5781) = 31×231×411×471×2511
LCM(5773,5781) = 33373713

Factors of 5773

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

1, 23, 251, 5773

Factors of 5781

List of positive integer factors of 5781 that divides 5781 without a remainder.

1, 3, 41, 47, 123, 141, 1927, 5781

Least Common Multiple of 5773 and 5781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5773 and 5781, than apply into the LCM equation.

GCF(5773,5781) = 1
LCM(5773,5781) = ( 5773 × 5781) / 1
LCM(5773,5781) = 33373713 / 1
LCM(5773,5781) = 33373713

Properties of LCM 5773 and 5781

(i) The LCM of 5781 and 5773 is associative

LCM of 5773 and 5781 = LCM of 5781 and 5773

Related Least Common Multiples of 5773

Related Least Common Multiples of 5781

Frequently Asked Questions on LCM of 5773 and 5781

1. What is the LCM of 5773 and 5781?

Answer: LCM of 5773 and 5781 is 33373713.

2. 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.

3. What are the Factors of 5781?

Answer: Factors of 5781 are 1, 3, 41, 47, 123, 141, 1927, 5781. There are 8 integers that are factors of 5781. The greatest factor of 5781 is 5781.

4. How to Find the LCM of 5773 and 5781?

Answer:

Least Common Multiple of 5773 and 5781 = 33373713

Step 1: Find the prime factorization of 5773

5773 = 23 x 251

Step 2: Find the prime factorization of 5781

5781 = 3 x 41 x 47

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

LCM = 33373713 = 3 x 23 x 41 x 47 x 251

Step 4: Therefore, the least common multiple of 5773 and 5781 is 33373713.