Least Common Multiple of 5882 and 5886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5882 and 5886 the smallest integer that is 17310726 that is divisible by both numbers.

Least Common Multiple (LCM) of 5882 and 5886 is 17310726.

LCM(5882,5886) = 17310726

LCM of 5882 and 5886

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

LCM of:
and

Least Common Multiple of 5882 and 5886

LCM of 5882 and 5886 is 17310726

Least common multiple can be found by multiplying the highest exponent prime factors of 5882 and 5886. First we will calculate the prime factors of 5882 and 5886.

Prime Factorization of 5882


2 5882
17 2941
173 173
1

Prime factors of 5882 are 2, 17,173. Prime factorization of 5882 in exponential form is:

5882 = 21×171×1731

Prime Factorization of 5886


2 5886
3 2943
3 981
3 327
109 109
1

Prime factors of 5886 are 2, 3,109. Prime factorization of 5886 in exponential form is:

5886 = 21×33×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 5882 and 5886.

LCM(5882,5886) = 21×33×171×1091×1731
LCM(5882,5886) = 17310726

Factors of 5882

List of positive integer factors of 5882 that divides 5882 without a remainder.

1, 2, 17, 34, 173, 346, 2941, 5882

Factors of 5886

List of positive integer factors of 5886 that divides 5886 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 109, 218, 327, 654, 981, 1962, 2943, 5886

Least Common Multiple of 5882 and 5886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5882 and 5886, than apply into the LCM equation.

GCF(5882,5886) = 2
LCM(5882,5886) = ( 5882 × 5886) / 2
LCM(5882,5886) = 34621452 / 2
LCM(5882,5886) = 17310726

Properties of LCM 5882 and 5886

(i) The LCM of 5886 and 5882 is associative

LCM of 5882 and 5886 = LCM of 5886 and 5882

Related Least Common Multiples of 5882

Related Least Common Multiples of 5886

Frequently Asked Questions on LCM of 5882 and 5886

1. What is the LCM of 5882 and 5886?

Answer: LCM of 5882 and 5886 is 17310726.

2. What are the Factors of 5882?

Answer: Factors of 5882 are 1, 2, 17, 34, 173, 346, 2941, 5882. There are 8 integers that are factors of 5882. The greatest factor of 5882 is 5882.

3. What are the Factors of 5886?

Answer: Factors of 5886 are 1, 2, 3, 6, 9, 18, 27, 54, 109, 218, 327, 654, 981, 1962, 2943, 5886. There are 16 integers that are factors of 5886. The greatest factor of 5886 is 5886.

4. How to Find the LCM of 5882 and 5886?

Answer:

Least Common Multiple of 5882 and 5886 = 17310726

Step 1: Find the prime factorization of 5882

5882 = 2 x 17 x 173

Step 2: Find the prime factorization of 5886

5886 = 2 x 3 x 3 x 3 x 109

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

LCM = 17310726 = 2 x 3 x 3 x 3 x 17 x 109 x 173

Step 4: Therefore, the least common multiple of 5882 and 5886 is 17310726.