Least Common Multiple of 5773 and 5780

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 5780 the smallest integer that is 33367940 that is divisible by both numbers.

Least Common Multiple (LCM) of 5773 and 5780 is 33367940.

LCM(5773,5780) = 33367940

LCM of 5773 and 5780

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

LCM of:
and

Least Common Multiple of 5773 and 5780

LCM of 5773 and 5780 is 33367940

Least common multiple can be found by multiplying the highest exponent prime factors of 5773 and 5780. First we will calculate the prime factors of 5773 and 5780.

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 5780


2 5780
2 2890
5 1445
17 289
17 17
1

Prime factors of 5780 are 2, 5,17. Prime factorization of 5780 in exponential form is:

5780 = 22×51×172

Now multiplying the highest exponent prime factors to calculate the LCM of 5773 and 5780.

LCM(5773,5780) = 22×51×172×231×2511
LCM(5773,5780) = 33367940

Factors of 5773

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

1, 23, 251, 5773

Factors of 5780

List of positive integer factors of 5780 that divides 5780 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780

Least Common Multiple of 5773 and 5780 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 5780, than apply into the LCM equation.

GCF(5773,5780) = 1
LCM(5773,5780) = ( 5773 × 5780) / 1
LCM(5773,5780) = 33367940 / 1
LCM(5773,5780) = 33367940

Properties of LCM 5773 and 5780

(i) The LCM of 5780 and 5773 is associative

LCM of 5773 and 5780 = LCM of 5780 and 5773

Related Least Common Multiples of 5773

Related Least Common Multiples of 5780

Frequently Asked Questions on LCM of 5773 and 5780

1. What is the LCM of 5773 and 5780?

Answer: LCM of 5773 and 5780 is 33367940.

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 5780?

Answer: Factors of 5780 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780. There are 18 integers that are factors of 5780. The greatest factor of 5780 is 5780.

4. How to Find the LCM of 5773 and 5780?

Answer:

Least Common Multiple of 5773 and 5780 = 33367940

Step 1: Find the prime factorization of 5773

5773 = 23 x 251

Step 2: Find the prime factorization of 5780

5780 = 2 x 2 x 5 x 17 x 17

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

LCM = 33367940 = 2 x 2 x 5 x 17 x 17 x 23 x 251

Step 4: Therefore, the least common multiple of 5773 and 5780 is 33367940.