Least Common Multiple of 5782 and 5786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5782 and 5786 the smallest integer that is 16727326 that is divisible by both numbers.

Least Common Multiple (LCM) of 5782 and 5786 is 16727326.

LCM(5782,5786) = 16727326

LCM of 5782 and 5786

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

LCM of:
and

Least Common Multiple of 5782 and 5786

LCM of 5782 and 5786 is 16727326

Least common multiple can be found by multiplying the highest exponent prime factors of 5782 and 5786. First we will calculate the prime factors of 5782 and 5786.

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

Prime Factorization of 5786


2 5786
11 2893
263 263
1

Prime factors of 5786 are 2, 11,263. Prime factorization of 5786 in exponential form is:

5786 = 21×111×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 5782 and 5786.

LCM(5782,5786) = 21×72×111×591×2631
LCM(5782,5786) = 16727326

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

Factors of 5786

List of positive integer factors of 5786 that divides 5786 without a remainder.

1, 2, 11, 22, 263, 526, 2893, 5786

Least Common Multiple of 5782 and 5786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5782 and 5786, than apply into the LCM equation.

GCF(5782,5786) = 2
LCM(5782,5786) = ( 5782 × 5786) / 2
LCM(5782,5786) = 33454652 / 2
LCM(5782,5786) = 16727326

Properties of LCM 5782 and 5786

(i) The LCM of 5786 and 5782 is associative

LCM of 5782 and 5786 = LCM of 5786 and 5782

Related Least Common Multiples of 5782

Related Least Common Multiples of 5786

Frequently Asked Questions on LCM of 5782 and 5786

1. What is the LCM of 5782 and 5786?

Answer: LCM of 5782 and 5786 is 16727326.

2. 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.

3. What are the Factors of 5786?

Answer: Factors of 5786 are 1, 2, 11, 22, 263, 526, 2893, 5786. There are 8 integers that are factors of 5786. The greatest factor of 5786 is 5786.

4. How to Find the LCM of 5782 and 5786?

Answer:

Least Common Multiple of 5782 and 5786 = 16727326

Step 1: Find the prime factorization of 5782

5782 = 2 x 7 x 7 x 59

Step 2: Find the prime factorization of 5786

5786 = 2 x 11 x 263

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

LCM = 16727326 = 2 x 7 x 7 x 11 x 59 x 263

Step 4: Therefore, the least common multiple of 5782 and 5786 is 16727326.