Least Common Multiple of 5780 and 5782

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 5782 the smallest integer that is 16709980 that is divisible by both numbers.

Least Common Multiple (LCM) of 5780 and 5782 is 16709980.

LCM(5780,5782) = 16709980

LCM of 5780 and 5782

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

LCM of:
and

Least Common Multiple of 5780 and 5782

LCM of 5780 and 5782 is 16709980

Least common multiple can be found by multiplying the highest exponent prime factors of 5780 and 5782. First we will calculate the prime factors of 5780 and 5782.

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 5782


2 5782
7 2891
7 413
59 59
1

Prime factors of 5782 are 2, 7,59. Prime factorization of 5782 in exponential form is:

5782 = 21×72×591

Now multiplying the highest exponent prime factors to calculate the LCM of 5780 and 5782.

LCM(5780,5782) = 22×51×72×172×591
LCM(5780,5782) = 16709980

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 5782

List of positive integer factors of 5782 that divides 5782 without a remainder.

1, 2, 7, 14, 49, 59, 98, 118, 413, 826, 2891, 5782

Least Common Multiple of 5780 and 5782 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 5782, than apply into the LCM equation.

GCF(5780,5782) = 2
LCM(5780,5782) = ( 5780 × 5782) / 2
LCM(5780,5782) = 33419960 / 2
LCM(5780,5782) = 16709980

Properties of LCM 5780 and 5782

(i) The LCM of 5782 and 5780 is associative

LCM of 5780 and 5782 = LCM of 5782 and 5780

Related Least Common Multiples of 5780

Related Least Common Multiples of 5782

Frequently Asked Questions on LCM of 5780 and 5782

1. What is the LCM of 5780 and 5782?

Answer: LCM of 5780 and 5782 is 16709980.

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 5782?

Answer: Factors of 5782 are 1, 2, 7, 14, 49, 59, 98, 118, 413, 826, 2891, 5782. There are 12 integers that are factors of 5782. The greatest factor of 5782 is 5782.

4. How to Find the LCM of 5780 and 5782?

Answer:

Least Common Multiple of 5780 and 5782 = 16709980

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 5782

5782 = 2 x 7 x 7 x 59

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

LCM = 16709980 = 2 x 2 x 5 x 7 x 7 x 17 x 17 x 59

Step 4: Therefore, the least common multiple of 5780 and 5782 is 16709980.