Least Common Multiple of 5823 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 5823 and 5829 the smallest integer that is 11314089 that is divisible by both numbers.

Least Common Multiple (LCM) of 5823 and 5829 is 11314089.

LCM(5823,5829) = 11314089

LCM of 5823 and 5829

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

LCM of:
and

Least Common Multiple of 5823 and 5829

LCM of 5823 and 5829 is 11314089

Least common multiple can be found by multiplying the highest exponent prime factors of 5823 and 5829. First we will calculate the prime factors of 5823 and 5829.

Prime Factorization of 5823


3 5823
3 1941
647 647
1

Prime factors of 5823 are 3,647. Prime factorization of 5823 in exponential form is:

5823 = 32×6471

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 5823 and 5829.

LCM(5823,5829) = 32×291×671×6471
LCM(5823,5829) = 11314089

Factors of 5823

List of positive integer factors of 5823 that divides 5823 without a remainder.

1, 3, 9, 647, 1941, 5823

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 5823 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 5823 and 5829, than apply into the LCM equation.

GCF(5823,5829) = 3
LCM(5823,5829) = ( 5823 × 5829) / 3
LCM(5823,5829) = 33942267 / 3
LCM(5823,5829) = 11314089

Properties of LCM 5823 and 5829

(i) The LCM of 5829 and 5823 is associative

LCM of 5823 and 5829 = LCM of 5829 and 5823

Related Least Common Multiples of 5823

Related Least Common Multiples of 5829

Frequently Asked Questions on LCM of 5823 and 5829

1. What is the LCM of 5823 and 5829?

Answer: LCM of 5823 and 5829 is 11314089.

2. What are the Factors of 5823?

Answer: Factors of 5823 are 1, 3, 9, 647, 1941, 5823. There are 6 integers that are factors of 5823. The greatest factor of 5823 is 5823.

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 5823 and 5829?

Answer:

Least Common Multiple of 5823 and 5829 = 11314089

Step 1: Find the prime factorization of 5823

5823 = 3 x 3 x 647

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 = 11314089 = 3 x 3 x 29 x 67 x 647

Step 4: Therefore, the least common multiple of 5823 and 5829 is 11314089.