Least Common Multiple of 5877 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 5877 and 5882 the smallest integer that is 34568514 that is divisible by both numbers.

Least Common Multiple (LCM) of 5877 and 5882 is 34568514.

LCM(5877,5882) = 34568514

LCM of 5877 and 5882

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

LCM of:
and

Least Common Multiple of 5877 and 5882

LCM of 5877 and 5882 is 34568514

Least common multiple can be found by multiplying the highest exponent prime factors of 5877 and 5882. First we will calculate the prime factors of 5877 and 5882.

Prime Factorization of 5877


3 5877
3 1959
653 653
1

Prime factors of 5877 are 3,653. Prime factorization of 5877 in exponential form is:

5877 = 32×6531

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 5877 and 5882.

LCM(5877,5882) = 21×32×171×1731×6531
LCM(5877,5882) = 34568514

Factors of 5877

List of positive integer factors of 5877 that divides 5877 without a remainder.

1, 3, 9, 653, 1959, 5877

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 5877 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 5877 and 5882, than apply into the LCM equation.

GCF(5877,5882) = 1
LCM(5877,5882) = ( 5877 × 5882) / 1
LCM(5877,5882) = 34568514 / 1
LCM(5877,5882) = 34568514

Properties of LCM 5877 and 5882

(i) The LCM of 5882 and 5877 is associative

LCM of 5877 and 5882 = LCM of 5882 and 5877

Related Least Common Multiples of 5877

Related Least Common Multiples of 5882

Frequently Asked Questions on LCM of 5877 and 5882

1. What is the LCM of 5877 and 5882?

Answer: LCM of 5877 and 5882 is 34568514.

2. What are the Factors of 5877?

Answer: Factors of 5877 are 1, 3, 9, 653, 1959, 5877. There are 6 integers that are factors of 5877. The greatest factor of 5877 is 5877.

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 5877 and 5882?

Answer:

Least Common Multiple of 5877 and 5882 = 34568514

Step 1: Find the prime factorization of 5877

5877 = 3 x 3 x 653

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 = 34568514 = 2 x 3 x 3 x 17 x 173 x 653

Step 4: Therefore, the least common multiple of 5877 and 5882 is 34568514.