Least Common Multiple of 5782 and 5789

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 5789 the smallest integer that is 4781714 that is divisible by both numbers.

Least Common Multiple (LCM) of 5782 and 5789 is 4781714.

LCM(5782,5789) = 4781714

LCM of 5782 and 5789

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

LCM of:
and

Least Common Multiple of 5782 and 5789

LCM of 5782 and 5789 is 4781714

Least common multiple can be found by multiplying the highest exponent prime factors of 5782 and 5789. First we will calculate the prime factors of 5782 and 5789.

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 5789


7 5789
827 827
1

Prime factors of 5789 are 7,827. Prime factorization of 5789 in exponential form is:

5789 = 71×8271

Now multiplying the highest exponent prime factors to calculate the LCM of 5782 and 5789.

LCM(5782,5789) = 21×72×591×8271
LCM(5782,5789) = 4781714

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 5789

List of positive integer factors of 5789 that divides 5789 without a remainder.

1, 7, 827, 5789

Least Common Multiple of 5782 and 5789 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 5789, than apply into the LCM equation.

GCF(5782,5789) = 7
LCM(5782,5789) = ( 5782 × 5789) / 7
LCM(5782,5789) = 33471998 / 7
LCM(5782,5789) = 4781714

Properties of LCM 5782 and 5789

(i) The LCM of 5789 and 5782 is associative

LCM of 5782 and 5789 = LCM of 5789 and 5782

Related Least Common Multiples of 5782

Related Least Common Multiples of 5789

Frequently Asked Questions on LCM of 5782 and 5789

1. What is the LCM of 5782 and 5789?

Answer: LCM of 5782 and 5789 is 4781714.

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 5789?

Answer: Factors of 5789 are 1, 7, 827, 5789. There are 4 integers that are factors of 5789. The greatest factor of 5789 is 5789.

4. How to Find the LCM of 5782 and 5789?

Answer:

Least Common Multiple of 5782 and 5789 = 4781714

Step 1: Find the prime factorization of 5782

5782 = 2 x 7 x 7 x 59

Step 2: Find the prime factorization of 5789

5789 = 7 x 827

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

LCM = 4781714 = 2 x 7 x 7 x 59 x 827

Step 4: Therefore, the least common multiple of 5782 and 5789 is 4781714.