Least Common Multiple of 5882 and 5884

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 5884 the smallest integer that is 17304844 that is divisible by both numbers.

Least Common Multiple (LCM) of 5882 and 5884 is 17304844.

LCM(5882,5884) = 17304844

LCM of 5882 and 5884

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

LCM of:
and

Least Common Multiple of 5882 and 5884

LCM of 5882 and 5884 is 17304844

Least common multiple can be found by multiplying the highest exponent prime factors of 5882 and 5884. First we will calculate the prime factors of 5882 and 5884.

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 5884


2 5884
2 2942
1471 1471
1

Prime factors of 5884 are 2,1471. Prime factorization of 5884 in exponential form is:

5884 = 22×14711

Now multiplying the highest exponent prime factors to calculate the LCM of 5882 and 5884.

LCM(5882,5884) = 22×171×1731×14711
LCM(5882,5884) = 17304844

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 5884

List of positive integer factors of 5884 that divides 5884 without a remainder.

1, 2, 4, 1471, 2942, 5884

Least Common Multiple of 5882 and 5884 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 5884, than apply into the LCM equation.

GCF(5882,5884) = 2
LCM(5882,5884) = ( 5882 × 5884) / 2
LCM(5882,5884) = 34609688 / 2
LCM(5882,5884) = 17304844

Properties of LCM 5882 and 5884

(i) The LCM of 5884 and 5882 is associative

LCM of 5882 and 5884 = LCM of 5884 and 5882

Related Least Common Multiples of 5882

Related Least Common Multiples of 5884

Frequently Asked Questions on LCM of 5882 and 5884

1. What is the LCM of 5882 and 5884?

Answer: LCM of 5882 and 5884 is 17304844.

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 5884?

Answer: Factors of 5884 are 1, 2, 4, 1471, 2942, 5884. There are 6 integers that are factors of 5884. The greatest factor of 5884 is 5884.

4. How to Find the LCM of 5882 and 5884?

Answer:

Least Common Multiple of 5882 and 5884 = 17304844

Step 1: Find the prime factorization of 5882

5882 = 2 x 17 x 173

Step 2: Find the prime factorization of 5884

5884 = 2 x 2 x 1471

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

LCM = 17304844 = 2 x 2 x 17 x 173 x 1471

Step 4: Therefore, the least common multiple of 5882 and 5884 is 17304844.