Least Common Multiple of 5876 and 5882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5876 and 5882 the smallest integer that is 17281316 that is divisible by both numbers.

Least Common Multiple (LCM) of 5876 and 5882 is 17281316.

LCM(5876,5882) = 17281316

LCM of 5876 and 5882

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

LCM of:
and

Least Common Multiple of 5876 and 5882

LCM of 5876 and 5882 is 17281316

Least common multiple can be found by multiplying the highest exponent prime factors of 5876 and 5882. First we will calculate the prime factors of 5876 and 5882.

Prime Factorization of 5876


2 5876
2 2938
13 1469
113 113
1

Prime factors of 5876 are 2, 13,113. Prime factorization of 5876 in exponential form is:

5876 = 22×131×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5876 and 5882.

LCM(5876,5882) = 22×131×171×1131×1731
LCM(5876,5882) = 17281316

Factors of 5876

List of positive integer factors of 5876 that divides 5876 without a remainder.

1, 2, 4, 13, 26, 52, 113, 226, 452, 1469, 2938, 5876

Factors of 5882

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

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

Least Common Multiple of 5876 and 5882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5876 and 5882, than apply into the LCM equation.

GCF(5876,5882) = 2
LCM(5876,5882) = ( 5876 × 5882) / 2
LCM(5876,5882) = 34562632 / 2
LCM(5876,5882) = 17281316

Properties of LCM 5876 and 5882

(i) The LCM of 5882 and 5876 is associative

LCM of 5876 and 5882 = LCM of 5882 and 5876

Related Least Common Multiples of 5876

Related Least Common Multiples of 5882

Frequently Asked Questions on LCM of 5876 and 5882

1. What is the LCM of 5876 and 5882?

Answer: LCM of 5876 and 5882 is 17281316.

2. What are the Factors of 5876?

Answer: Factors of 5876 are 1, 2, 4, 13, 26, 52, 113, 226, 452, 1469, 2938, 5876. There are 12 integers that are factors of 5876. The greatest factor of 5876 is 5876.

3. 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.

4. How to Find the LCM of 5876 and 5882?

Answer:

Least Common Multiple of 5876 and 5882 = 17281316

Step 1: Find the prime factorization of 5876

5876 = 2 x 2 x 13 x 113

Step 2: Find the prime factorization of 5882

5882 = 2 x 17 x 173

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

LCM = 17281316 = 2 x 2 x 13 x 17 x 113 x 173

Step 4: Therefore, the least common multiple of 5876 and 5882 is 17281316.