Least Common Multiple of 5780 and 5788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5780 and 5788 the smallest integer that is 8363660 that is divisible by both numbers.

Least Common Multiple (LCM) of 5780 and 5788 is 8363660.

LCM(5780,5788) = 8363660

LCM of 5780 and 5788

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

LCM of:
and

Least Common Multiple of 5780 and 5788

LCM of 5780 and 5788 is 8363660

Least common multiple can be found by multiplying the highest exponent prime factors of 5780 and 5788. First we will calculate the prime factors of 5780 and 5788.

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

Prime Factorization of 5788


2 5788
2 2894
1447 1447
1

Prime factors of 5788 are 2,1447. Prime factorization of 5788 in exponential form is:

5788 = 22×14471

Now multiplying the highest exponent prime factors to calculate the LCM of 5780 and 5788.

LCM(5780,5788) = 22×51×172×14471
LCM(5780,5788) = 8363660

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

Factors of 5788

List of positive integer factors of 5788 that divides 5788 without a remainder.

1, 2, 4, 1447, 2894, 5788

Least Common Multiple of 5780 and 5788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5780 and 5788, than apply into the LCM equation.

GCF(5780,5788) = 4
LCM(5780,5788) = ( 5780 × 5788) / 4
LCM(5780,5788) = 33454640 / 4
LCM(5780,5788) = 8363660

Properties of LCM 5780 and 5788

(i) The LCM of 5788 and 5780 is associative

LCM of 5780 and 5788 = LCM of 5788 and 5780

Related Least Common Multiples of 5780

Related Least Common Multiples of 5788

Frequently Asked Questions on LCM of 5780 and 5788

1. What is the LCM of 5780 and 5788?

Answer: LCM of 5780 and 5788 is 8363660.

2. 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.

3. What are the Factors of 5788?

Answer: Factors of 5788 are 1, 2, 4, 1447, 2894, 5788. There are 6 integers that are factors of 5788. The greatest factor of 5788 is 5788.

4. How to Find the LCM of 5780 and 5788?

Answer:

Least Common Multiple of 5780 and 5788 = 8363660

Step 1: Find the prime factorization of 5780

5780 = 2 x 2 x 5 x 17 x 17

Step 2: Find the prime factorization of 5788

5788 = 2 x 2 x 1447

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

LCM = 8363660 = 2 x 2 x 5 x 17 x 17 x 1447

Step 4: Therefore, the least common multiple of 5780 and 5788 is 8363660.