Least Common Multiple of 5821 and 5829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5821 and 5829 the smallest integer that is 33930609 that is divisible by both numbers.

Least Common Multiple (LCM) of 5821 and 5829 is 33930609.

LCM(5821,5829) = 33930609

LCM of 5821 and 5829

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

LCM of:
and

Least Common Multiple of 5821 and 5829

LCM of 5821 and 5829 is 33930609

Least common multiple can be found by multiplying the highest exponent prime factors of 5821 and 5829. First we will calculate the prime factors of 5821 and 5829.

Prime Factorization of 5821


5821 5821
1

Prime factors of 5821 are 5821. Prime factorization of 5821 in exponential form is:

5821 = 58211

Prime Factorization of 5829


3 5829
29 1943
67 67
1

Prime factors of 5829 are 3, 29,67. Prime factorization of 5829 in exponential form is:

5829 = 31×291×671

Now multiplying the highest exponent prime factors to calculate the LCM of 5821 and 5829.

LCM(5821,5829) = 31×291×671×58211
LCM(5821,5829) = 33930609

Factors of 5821

List of positive integer factors of 5821 that divides 5821 without a remainder.

1, 5821

Factors of 5829

List of positive integer factors of 5829 that divides 5829 without a remainder.

1, 3, 29, 67, 87, 201, 1943, 5829

Least Common Multiple of 5821 and 5829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5821 and 5829, than apply into the LCM equation.

GCF(5821,5829) = 1
LCM(5821,5829) = ( 5821 × 5829) / 1
LCM(5821,5829) = 33930609 / 1
LCM(5821,5829) = 33930609

Properties of LCM 5821 and 5829

(i) The LCM of 5829 and 5821 is associative

LCM of 5821 and 5829 = LCM of 5829 and 5821

Related Least Common Multiples of 5821

Related Least Common Multiples of 5829

Frequently Asked Questions on LCM of 5821 and 5829

1. What is the LCM of 5821 and 5829?

Answer: LCM of 5821 and 5829 is 33930609.

2. What are the Factors of 5821?

Answer: Factors of 5821 are 1, 5821. There are 2 integers that are factors of 5821. The greatest factor of 5821 is 5821.

3. What are the Factors of 5829?

Answer: Factors of 5829 are 1, 3, 29, 67, 87, 201, 1943, 5829. There are 8 integers that are factors of 5829. The greatest factor of 5829 is 5829.

4. How to Find the LCM of 5821 and 5829?

Answer:

Least Common Multiple of 5821 and 5829 = 33930609

Step 1: Find the prime factorization of 5821

5821 = 5821

Step 2: Find the prime factorization of 5829

5829 = 3 x 29 x 67

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

LCM = 33930609 = 3 x 29 x 67 x 5821

Step 4: Therefore, the least common multiple of 5821 and 5829 is 33930609.