Least Common Multiple of 5786 and 5790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5786 and 5790 the smallest integer that is 16750470 that is divisible by both numbers.

Least Common Multiple (LCM) of 5786 and 5790 is 16750470.

LCM(5786,5790) = 16750470

LCM of 5786 and 5790

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

LCM of:
and

Least Common Multiple of 5786 and 5790

LCM of 5786 and 5790 is 16750470

Least common multiple can be found by multiplying the highest exponent prime factors of 5786 and 5790. First we will calculate the prime factors of 5786 and 5790.

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

Prime Factorization of 5790


2 5790
3 2895
5 965
193 193
1

Prime factors of 5790 are 2, 3, 5,193. Prime factorization of 5790 in exponential form is:

5790 = 21×31×51×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 5786 and 5790.

LCM(5786,5790) = 21×31×51×111×1931×2631
LCM(5786,5790) = 16750470

Factors of 5786

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

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

Factors of 5790

List of positive integer factors of 5790 that divides 5790 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 193, 386, 579, 965, 1158, 1930, 2895, 5790

Least Common Multiple of 5786 and 5790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5786 and 5790, than apply into the LCM equation.

GCF(5786,5790) = 2
LCM(5786,5790) = ( 5786 × 5790) / 2
LCM(5786,5790) = 33500940 / 2
LCM(5786,5790) = 16750470

Properties of LCM 5786 and 5790

(i) The LCM of 5790 and 5786 is associative

LCM of 5786 and 5790 = LCM of 5790 and 5786

Related Least Common Multiples of 5786

Related Least Common Multiples of 5790

Frequently Asked Questions on LCM of 5786 and 5790

1. What is the LCM of 5786 and 5790?

Answer: LCM of 5786 and 5790 is 16750470.

2. 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.

3. What are the Factors of 5790?

Answer: Factors of 5790 are 1, 2, 3, 5, 6, 10, 15, 30, 193, 386, 579, 965, 1158, 1930, 2895, 5790. There are 16 integers that are factors of 5790. The greatest factor of 5790 is 5790.

4. How to Find the LCM of 5786 and 5790?

Answer:

Least Common Multiple of 5786 and 5790 = 16750470

Step 1: Find the prime factorization of 5786

5786 = 2 x 11 x 263

Step 2: Find the prime factorization of 5790

5790 = 2 x 3 x 5 x 193

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

LCM = 16750470 = 2 x 3 x 5 x 11 x 193 x 263

Step 4: Therefore, the least common multiple of 5786 and 5790 is 16750470.